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Finding the Third Proportional to 230,382,812.50 and 507,724,980

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Solution

The third proportional to 230,382,812.50 and 507,724,980 is: 1,118,940,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,382,812.50 : 507,724,980 = 507,724,980 : x
  2. Step 2: Convert to fraction form
    230,382,812.50/507,724,980 = 507,724,980/x
  3. Step 3: Cross multiply
    230,382,812.50x = 507,724,980 × 507,724,980
  4. Step 4: Simplify right side
    230,382,812.50x = 257,784,655,316,000,384
  5. Step 5: Solve for x
    x = 257,784,655,316,000,384/230,382,812.50
  6. Step 6: Final answer
    x = 1,118,940,482.23

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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.