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Finding the Third Proportional to 226,293,120 and 488,645,496

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Solution

The third proportional to 226,293,120 and 488,645,496 is: 1,055,155,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,293,120 : 488,645,496 = 488,645,496 : x
  2. Step 2: Convert to fraction form
    226,293,120/488,645,496 = 488,645,496/x
  3. Step 3: Cross multiply
    226,293,120x = 488,645,496 × 488,645,496
  4. Step 4: Simplify right side
    226,293,120x = 238,774,420,761,086,016
  5. Step 5: Solve for x
    x = 238,774,420,761,086,016/226,293,120
  6. Step 6: Final answer
    x = 1,055,155,458.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.