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Finding the Third Proportional to 77,577,292 and 115,693,314

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Solution

The third proportional to 77,577,292 and 115,693,314 is: 172,536,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,577,292 : 115,693,314 = 115,693,314 : x
  2. Step 2: Convert to fraction form
    77,577,292/115,693,314 = 115,693,314/x
  3. Step 3: Cross multiply
    77,577,292x = 115,693,314 × 115,693,314
  4. Step 4: Simplify right side
    77,577,292x = 13,384,942,904,302,596
  5. Step 5: Solve for x
    x = 13,384,942,904,302,596/77,577,292
  6. Step 6: Final answer
    x = 172,536,866.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.