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Finding the Third Proportional to 230,026,227.75 and 495,127,563.75

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Solution

The third proportional to 230,026,227.75 and 495,127,563.75 is: 1,065,753,704.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,026,227.75 : 495,127,563.75 = 495,127,563.75 : x
  2. Step 2: Convert to fraction form
    230,026,227.75/495,127,563.75 = 495,127,563.75/x
  3. Step 3: Cross multiply
    230,026,227.75x = 495,127,563.75 × 495,127,563.75
  4. Step 4: Simplify right side
    230,026,227.75x = 245,151,304,385,010,304
  5. Step 5: Solve for x
    x = 245,151,304,385,010,304/230,026,227.75
  6. Step 6: Final answer
    x = 1,065,753,704.62

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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.