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Finding the Third Proportional to 76,569,686.25 and 117,692,577

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Solution

The third proportional to 76,569,686.25 and 117,692,577 is: 180,901,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,569,686.25 : 117,692,577 = 117,692,577 : x
  2. Step 2: Convert to fraction form
    76,569,686.25/117,692,577 = 117,692,577/x
  3. Step 3: Cross multiply
    76,569,686.25x = 117,692,577 × 117,692,577
  4. Step 4: Simplify right side
    76,569,686.25x = 13,851,542,680,900,928
  5. Step 5: Solve for x
    x = 13,851,542,680,900,928/76,569,686.25
  6. Step 6: Final answer
    x = 180,901,128.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.