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Finding the Third Proportional to 65,191,296.38 and 138,154,917.38

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Solution

The third proportional to 65,191,296.38 and 138,154,917.38 is: 292,781,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191,296.38 : 138,154,917.38 = 138,154,917.38 : x
  2. Step 2: Convert to fraction form
    65,191,296.38/138,154,917.38 = 138,154,917.38/x
  3. Step 3: Cross multiply
    65,191,296.38x = 138,154,917.38 × 138,154,917.38
  4. Step 4: Simplify right side
    65,191,296.38x = 19,086,781,194,893,076
  5. Step 5: Solve for x
    x = 19,086,781,194,893,076/65,191,296.38
  6. Step 6: Final answer
    x = 292,781,126.56

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.