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Finding the Third Proportional to 229,074,244.88 and 485,635,320

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Solution

The third proportional to 229,074,244.88 and 485,635,320 is: 1,029,542,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,074,244.88 : 485,635,320 = 485,635,320 : x
  2. Step 2: Convert to fraction form
    229,074,244.88/485,635,320 = 485,635,320/x
  3. Step 3: Cross multiply
    229,074,244.88x = 485,635,320 × 485,635,320
  4. Step 4: Simplify right side
    229,074,244.88x = 235,841,664,031,502,400
  5. Step 5: Solve for x
    x = 235,841,664,031,502,400/229,074,244.88
  6. Step 6: Final answer
    x = 1,029,542,470.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.