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Finding the Third Proportional to 125,467,179 and 271,778,655

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Solution

The third proportional to 125,467,179 and 271,778,655 is: 588,708,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,467,179 : 271,778,655 = 271,778,655 : x
  2. Step 2: Convert to fraction form
    125,467,179/271,778,655 = 271,778,655/x
  3. Step 3: Cross multiply
    125,467,179x = 271,778,655 × 271,778,655
  4. Step 4: Simplify right side
    125,467,179x = 73,863,637,313,609,024
  5. Step 5: Solve for x
    x = 73,863,637,313,609,024/125,467,179
  6. Step 6: Final answer
    x = 588,708,839.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.