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Finding the Third Proportional to 182,160,872 and 279,819,048

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Solution

The third proportional to 182,160,872 and 279,819,048 is: 429,832,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,160,872 : 279,819,048 = 279,819,048 : x
  2. Step 2: Convert to fraction form
    182,160,872/279,819,048 = 279,819,048/x
  3. Step 3: Cross multiply
    182,160,872x = 279,819,048 × 279,819,048
  4. Step 4: Simplify right side
    182,160,872x = 78,298,699,623,626,304
  5. Step 5: Solve for x
    x = 78,298,699,623,626,304/182,160,872
  6. Step 6: Final answer
    x = 429,832,700.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.