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Finding the Third Proportional to 96,860,017.69 and 206,651,224.69

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Solution

The third proportional to 96,860,017.69 and 206,651,224.69 is: 440,891,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,860,017.69 : 206,651,224.69 = 206,651,224.69 : x
  2. Step 2: Convert to fraction form
    96,860,017.69/206,651,224.69 = 206,651,224.69/x
  3. Step 3: Cross multiply
    96,860,017.69x = 206,651,224.69 × 206,651,224.69
  4. Step 4: Simplify right side
    96,860,017.69x = 42,704,728,664,843,608
  5. Step 5: Solve for x
    x = 42,704,728,664,843,608/96,860,017.69
  6. Step 6: Final answer
    x = 440,891,192.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.