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Finding the Third Proportional to 125,064,600.75 and 271,658,522.25

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Solution

The third proportional to 125,064,600.75 and 271,658,522.25 is: 590,081,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,064,600.75 : 271,658,522.25 = 271,658,522.25 : x
  2. Step 2: Convert to fraction form
    125,064,600.75/271,658,522.25 = 271,658,522.25/x
  3. Step 3: Cross multiply
    125,064,600.75x = 271,658,522.25 × 271,658,522.25
  4. Step 4: Simplify right side
    125,064,600.75x = 73,798,352,711,053,744
  5. Step 5: Solve for x
    x = 73,798,352,711,053,744/125,064,600.75
  6. Step 6: Final answer
    x = 590,081,863.84

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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.