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Finding the Third Proportional to 77,034,438 and 119,665,188

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Solution

The third proportional to 77,034,438 and 119,665,188 is: 185,887,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,034,438 : 119,665,188 = 119,665,188 : x
  2. Step 2: Convert to fraction form
    77,034,438/119,665,188 = 119,665,188/x
  3. Step 3: Cross multiply
    77,034,438x = 119,665,188 × 119,665,188
  4. Step 4: Simplify right side
    77,034,438x = 14,319,757,219,075,344
  5. Step 5: Solve for x
    x = 14,319,757,219,075,344/77,034,438
  6. Step 6: Final answer
    x = 185,887,735.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.