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Finding the Third Proportional to 76,566,096 and 117,687,584

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Solution

The third proportional to 76,566,096 and 117,687,584 is: 180,894,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566,096 : 117,687,584 = 117,687,584 : x
  2. Step 2: Convert to fraction form
    76,566,096/117,687,584 = 117,687,584/x
  3. Step 3: Cross multiply
    76,566,096x = 117,687,584 × 117,687,584
  4. Step 4: Simplify right side
    76,566,096x = 13,850,367,427,757,056
  5. Step 5: Solve for x
    x = 13,850,367,427,757,056/76,566,096
  6. Step 6: Final answer
    x = 180,894,261.97

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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.