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Finding the Third Proportional to 77,705,679.38 and 116,438,809.50

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Solution

The third proportional to 77,705,679.38 and 116,438,809.50 is: 174,478,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,705,679.38 : 116,438,809.50 = 116,438,809.50 : x
  2. Step 2: Convert to fraction form
    77,705,679.38/116,438,809.50 = 116,438,809.50/x
  3. Step 3: Cross multiply
    77,705,679.38x = 116,438,809.50 × 116,438,809.50
  4. Step 4: Simplify right side
    77,705,679.38x = 13,557,996,357,777,290
  5. Step 5: Solve for x
    x = 13,557,996,357,777,290/77,705,679.38
  6. Step 6: Final answer
    x = 174,478,834.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.