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Finding the Third Proportional to 39,158,347.50 and 82,984,691.25

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Solution

The third proportional to 39,158,347.50 and 82,984,691.25 is: 175,861,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,158,347.50 : 82,984,691.25 = 82,984,691.25 : x
  2. Step 2: Convert to fraction form
    39,158,347.50/82,984,691.25 = 82,984,691.25/x
  3. Step 3: Cross multiply
    39,158,347.50x = 82,984,691.25 × 82,984,691.25
  4. Step 4: Simplify right side
    39,158,347.50x = 6,886,458,981,857,827
  5. Step 5: Solve for x
    x = 6,886,458,981,857,827/39,158,347.50
  6. Step 6: Final answer
    x = 175,861,838.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.