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Finding the Third Proportional to 230,569,280,611.50 and 507,251,610,887.50

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Solution

The third proportional to 230,569,280,611.50 and 507,251,610,887.50 is: 1,115,951,769,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,569,280,611.50 : 507,251,610,887.50 = 507,251,610,887.50 : x
  2. Step 2: Convert to fraction form
    230,569,280,611.50/507,251,610,887.50 = 507,251,610,887.50/x
  3. Step 3: Cross multiply
    230,569,280,611.50x = 507,251,610,887.50 × 507,251,610,887.50
  4. Step 4: Simplify right side
    230,569,280,611.50x = 257,304,196,747,963,700,084,736
  5. Step 5: Solve for x
    x = 257,304,196,747,963,700,084,736/230,569,280,611.50
  6. Step 6: Final answer
    x = 1,115,951,769,748.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.