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Finding the Third Proportional to 125,064,177.19 and 271,657,693.69

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Solution

The third proportional to 125,064,177.19 and 271,657,693.69 is: 590,080,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,064,177.19 : 271,657,693.69 = 271,657,693.69 : x
  2. Step 2: Convert to fraction form
    125,064,177.19/271,657,693.69 = 271,657,693.69/x
  3. Step 3: Cross multiply
    125,064,177.19x = 271,657,693.69 × 271,657,693.69
  4. Step 4: Simplify right side
    125,064,177.19x = 73,797,902,539,611,584
  5. Step 5: Solve for x
    x = 73,797,902,539,611,584/125,064,177.19
  6. Step 6: Final answer
    x = 590,080,262.78

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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.