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Finding the Third Proportional to 215,482,320 and 461,218,464

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Solution

The third proportional to 215,482,320 and 461,218,464 is: 987,192,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,482,320 : 461,218,464 = 461,218,464 : x
  2. Step 2: Convert to fraction form
    215,482,320/461,218,464 = 461,218,464/x
  3. Step 3: Cross multiply
    215,482,320x = 461,218,464 × 461,218,464
  4. Step 4: Simplify right side
    215,482,320x = 212,722,471,534,519,296
  5. Step 5: Solve for x
    x = 212,722,471,534,519,296/215,482,320
  6. Step 6: Final answer
    x = 987,192,227.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.