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Finding the Third Proportional to 125,272,830 and 191,653,320

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Solution

The third proportional to 125,272,830 and 191,653,320 is: 293,207,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,272,830 : 191,653,320 = 191,653,320 : x
  2. Step 2: Convert to fraction form
    125,272,830/191,653,320 = 191,653,320/x
  3. Step 3: Cross multiply
    125,272,830x = 191,653,320 × 191,653,320
  4. Step 4: Simplify right side
    125,272,830x = 36,730,995,067,022,400
  5. Step 5: Solve for x
    x = 36,730,995,067,022,400/125,272,830
  6. Step 6: Final answer
    x = 293,207,993.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.