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Finding the Third Proportional to 185,677,955,379 and 278,713,459,895

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Solution

The third proportional to 185,677,955,379 and 278,713,459,895 is: 418,365,188,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,677,955,379 : 278,713,459,895 = 278,713,459,895 : x
  2. Step 2: Convert to fraction form
    185,677,955,379/278,713,459,895 = 278,713,459,895/x
  3. Step 3: Cross multiply
    185,677,955,379x = 278,713,459,895 × 278,713,459,895
  4. Step 4: Simplify right side
    185,677,955,379x = 77,681,192,726,641,776,787,456
  5. Step 5: Solve for x
    x = 77,681,192,726,641,776,787,456/185,677,955,379
  6. Step 6: Final answer
    x = 418,365,188,091.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.