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Finding the Third Proportional to 156,281,265 and 340,334,514

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Solution

The third proportional to 156,281,265 and 340,334,514 is: 741,148,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,281,265 : 340,334,514 = 340,334,514 : x
  2. Step 2: Convert to fraction form
    156,281,265/340,334,514 = 340,334,514/x
  3. Step 3: Cross multiply
    156,281,265x = 340,334,514 × 340,334,514
  4. Step 4: Simplify right side
    156,281,265x = 115,827,581,419,616,192
  5. Step 5: Solve for x
    x = 115,827,581,419,616,192/156,281,265
  6. Step 6: Final answer
    x = 741,148,220.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.