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Finding the Third Proportional to 71,611,202.25 and 109,472,100.75

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Solution

The third proportional to 71,611,202.25 and 109,472,100.75 is: 167,350,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,611,202.25 : 109,472,100.75 = 109,472,100.75 : x
  2. Step 2: Convert to fraction form
    71,611,202.25/109,472,100.75 = 109,472,100.75/x
  3. Step 3: Cross multiply
    71,611,202.25x = 109,472,100.75 × 109,472,100.75
  4. Step 4: Simplify right side
    71,611,202.25x = 11,984,140,842,618,150
  5. Step 5: Solve for x
    x = 11,984,140,842,618,150/71,611,202.25
  6. Step 6: Final answer
    x = 167,350,085.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.