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Finding the Third Proportional to 265,380,148.13 and 415,396,023.47

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Solution

The third proportional to 265,380,148.13 and 415,396,023.47 is: 650,213,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,380,148.13 : 415,396,023.47 = 415,396,023.47 : x
  2. Step 2: Convert to fraction form
    265,380,148.13/415,396,023.47 = 415,396,023.47/x
  3. Step 3: Cross multiply
    265,380,148.13x = 415,396,023.47 × 415,396,023.47
  4. Step 4: Simplify right side
    265,380,148.13x = 172,553,856,313,658,624
  5. Step 5: Solve for x
    x = 172,553,856,313,658,624/265,380,148.13
  6. Step 6: Final answer
    x = 650,213,881.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.