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Finding the Third Proportional to 70,180,983 and 156,498,822

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Solution

The third proportional to 70,180,983 and 156,498,822 is: 348,981,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,180,983 : 156,498,822 = 156,498,822 : x
  2. Step 2: Convert to fraction form
    70,180,983/156,498,822 = 156,498,822/x
  3. Step 3: Cross multiply
    70,180,983x = 156,498,822 × 156,498,822
  4. Step 4: Simplify right side
    70,180,983x = 24,491,881,287,387,684
  5. Step 5: Solve for x
    x = 24,491,881,287,387,684/70,180,983
  6. Step 6: Final answer
    x = 348,981,736.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.