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Finding the Third Proportional to 225,564,840 and 358,917,997.50

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Solution

The third proportional to 225,564,840 and 358,917,997.50 is: 571,109,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,564,840 : 358,917,997.50 = 358,917,997.50 : x
  2. Step 2: Convert to fraction form
    225,564,840/358,917,997.50 = 358,917,997.50/x
  3. Step 3: Cross multiply
    225,564,840x = 358,917,997.50 × 358,917,997.50
  4. Step 4: Simplify right side
    225,564,840x = 128,822,128,929,410,000
  5. Step 5: Solve for x
    x = 128,822,128,929,410,000/225,564,840
  6. Step 6: Final answer
    x = 571,109,083.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.