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Finding the Third Proportional to 215,482,322 and 461,218,468

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Solution

The third proportional to 215,482,322 and 461,218,468 is: 987,192,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,482,322 : 461,218,468 = 461,218,468 : x
  2. Step 2: Convert to fraction form
    215,482,322/461,218,468 = 461,218,468/x
  3. Step 3: Cross multiply
    215,482,322x = 461,218,468 × 461,218,468
  4. Step 4: Simplify right side
    215,482,322x = 212,722,475,224,267,008
  5. Step 5: Solve for x
    x = 212,722,475,224,267,008/215,482,322
  6. Step 6: Final answer
    x = 987,192,235.77

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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.