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Finding the Third Proportional to 65,938,358.25 and 96,932,311.88

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Solution

The third proportional to 65,938,358.25 and 96,932,311.88 is: 142,494,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,938,358.25 : 96,932,311.88 = 96,932,311.88 : x
  2. Step 2: Convert to fraction form
    65,938,358.25/96,932,311.88 = 96,932,311.88/x
  3. Step 3: Cross multiply
    65,938,358.25x = 96,932,311.88 × 96,932,311.88
  4. Step 4: Simplify right side
    65,938,358.25x = 9,395,873,085,432,266
  5. Step 5: Solve for x
    x = 9,395,873,085,432,266/65,938,358.25
  6. Step 6: Final answer
    x = 142,494,798.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.