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Finding the Third Proportional to 230,026,218.75 and 495,127,545.75

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Solution

The third proportional to 230,026,218.75 and 495,127,545.75 is: 1,065,753,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,026,218.75 : 495,127,545.75 = 495,127,545.75 : x
  2. Step 2: Convert to fraction form
    230,026,218.75/495,127,545.75 = 495,127,545.75/x
  3. Step 3: Cross multiply
    230,026,218.75x = 495,127,545.75 × 495,127,545.75
  4. Step 4: Simplify right side
    230,026,218.75x = 245,151,286,560,418,336
  5. Step 5: Solve for x
    x = 245,151,286,560,418,336/230,026,218.75
  6. Step 6: Final answer
    x = 1,065,753,668.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.