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Finding the Third Proportional to 172,688,112 and 352,313,023.50

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Solution

The third proportional to 172,688,112 and 352,313,023.50 is: 718,778,293.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,688,112 : 352,313,023.50 = 352,313,023.50 : x
  2. Step 2: Convert to fraction form
    172,688,112/352,313,023.50 = 352,313,023.50/x
  3. Step 3: Cross multiply
    172,688,112x = 352,313,023.50 × 352,313,023.50
  4. Step 4: Simplify right side
    172,688,112x = 124,124,466,527,711,552
  5. Step 5: Solve for x
    x = 124,124,466,527,711,552/172,688,112
  6. Step 6: Final answer
    x = 718,778,293.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.