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Finding the Third Proportional to 106,970,759 and 160,711,652

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Solution

The third proportional to 106,970,759 and 160,711,652 is: 241,451,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,970,759 : 160,711,652 = 160,711,652 : x
  2. Step 2: Convert to fraction form
    106,970,759/160,711,652 = 160,711,652/x
  3. Step 3: Cross multiply
    106,970,759x = 160,711,652 × 160,711,652
  4. Step 4: Simplify right side
    106,970,759x = 25,828,235,088,569,104
  5. Step 5: Solve for x
    x = 25,828,235,088,569,104/106,970,759
  6. Step 6: Final answer
    x = 241,451,358.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.