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Finding the Third Proportional to 226,293,129 and 488,645,514

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Solution

The third proportional to 226,293,129 and 488,645,514 is: 1,055,155,494.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,293,129 : 488,645,514 = 488,645,514 : x
  2. Step 2: Convert to fraction form
    226,293,129/488,645,514 = 488,645,514/x
  3. Step 3: Cross multiply
    226,293,129x = 488,645,514 × 488,645,514
  4. Step 4: Simplify right side
    226,293,129x = 238,774,438,352,324,192
  5. Step 5: Solve for x
    x = 238,774,438,352,324,192/226,293,129
  6. Step 6: Final answer
    x = 1,055,155,494.15

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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.