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Finding the Third Proportional to 125,502,184 and 271,844,192

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Solution

The third proportional to 125,502,184 and 271,844,192 is: 588,828,515.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,502,184 : 271,844,192 = 271,844,192 : x
  2. Step 2: Convert to fraction form
    125,502,184/271,844,192 = 271,844,192/x
  3. Step 3: Cross multiply
    125,502,184x = 271,844,192 × 271,844,192
  4. Step 4: Simplify right side
    125,502,184x = 73,899,264,724,132,864
  5. Step 5: Solve for x
    x = 73,899,264,724,132,864/125,502,184
  6. Step 6: Final answer
    x = 588,828,515.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.