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Finding the Third Proportional to 225,564,829.73 and 358,917,978.66

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Solution

The third proportional to 225,564,829.73 and 358,917,978.66 is: 571,109,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,564,829.73 : 358,917,978.66 = 358,917,978.66 : x
  2. Step 2: Convert to fraction form
    225,564,829.73/358,917,978.66 = 358,917,978.66/x
  3. Step 3: Cross multiply
    225,564,829.73x = 358,917,978.66 × 358,917,978.66
  4. Step 4: Simplify right side
    225,564,829.73x = 128,822,115,402,688,336
  5. Step 5: Solve for x
    x = 128,822,115,402,688,336/225,564,829.73
  6. Step 6: Final answer
    x = 571,109,049.02

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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.