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Finding the Third Proportional to 360,752,416.03 and 557,695,183.22

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Solution

The third proportional to 360,752,416.03 and 557,695,183.22 is: 862,153,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,752,416.03 : 557,695,183.22 = 557,695,183.22 : x
  2. Step 2: Convert to fraction form
    360,752,416.03/557,695,183.22 = 557,695,183.22/x
  3. Step 3: Cross multiply
    360,752,416.03x = 557,695,183.22 × 557,695,183.22
  4. Step 4: Simplify right side
    360,752,416.03x = 311,023,917,385,395,136
  5. Step 5: Solve for x
    x = 311,023,917,385,395,136/360,752,416.03
  6. Step 6: Final answer
    x = 862,153,387.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.