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Finding the Third Proportional to 61,952,546.25 and 96,699,344.06

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Solution

The third proportional to 61,952,546.25 and 96,699,344.06 is: 150,934,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,952,546.25 : 96,699,344.06 = 96,699,344.06 : x
  2. Step 2: Convert to fraction form
    61,952,546.25/96,699,344.06 = 96,699,344.06/x
  3. Step 3: Cross multiply
    61,952,546.25x = 96,699,344.06 × 96,699,344.06
  4. Step 4: Simplify right side
    61,952,546.25x = 9,350,763,142,117,754
  5. Step 5: Solve for x
    x = 9,350,763,142,117,754/61,952,546.25
  6. Step 6: Final answer
    x = 150,934,282.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.