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Finding the Third Proportional to 140,719,952 and 215,264,864

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Solution

The third proportional to 140,719,952 and 215,264,864 is: 329,299,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,719,952 : 215,264,864 = 215,264,864 : x
  2. Step 2: Convert to fraction form
    140,719,952/215,264,864 = 215,264,864/x
  3. Step 3: Cross multiply
    140,719,952x = 215,264,864 × 215,264,864
  4. Step 4: Simplify right side
    140,719,952x = 46,338,961,672,938,496
  5. Step 5: Solve for x
    x = 46,338,961,672,938,496/140,719,952
  6. Step 6: Final answer
    x = 329,299,157.76

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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.