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Finding the Third Proportional to 229,732,728 and 491,757,960

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Solution

The third proportional to 229,732,728 and 491,757,960 is: 1,052,640,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,732,728 : 491,757,960 = 491,757,960 : x
  2. Step 2: Convert to fraction form
    229,732,728/491,757,960 = 491,757,960/x
  3. Step 3: Cross multiply
    229,732,728x = 491,757,960 × 491,757,960
  4. Step 4: Simplify right side
    229,732,728x = 241,825,891,223,361,600
  5. Step 5: Solve for x
    x = 241,825,891,223,361,600/229,732,728
  6. Step 6: Final answer
    x = 1,052,640,141.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.