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Finding the Third Proportional to 76,566,102.75 and 117,687,606.75

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Solution

The third proportional to 76,566,102.75 and 117,687,606.75 is: 180,894,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566,102.75 : 117,687,606.75 = 117,687,606.75 : x
  2. Step 2: Convert to fraction form
    76,566,102.75/117,687,606.75 = 117,687,606.75/x
  3. Step 3: Cross multiply
    76,566,102.75x = 117,687,606.75 × 117,687,606.75
  4. Step 4: Simplify right side
    76,566,102.75x = 13,850,372,782,542,646
  5. Step 5: Solve for x
    x = 13,850,372,782,542,646/76,566,102.75
  6. Step 6: Final answer
    x = 180,894,315.96

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