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Finding the Third Proportional to 99,782,976 and 149,267,592

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Solution

The third proportional to 99,782,976 and 149,267,592 is: 223,292,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,782,976 : 149,267,592 = 149,267,592 : x
  2. Step 2: Convert to fraction form
    99,782,976/149,267,592 = 149,267,592/x
  3. Step 3: Cross multiply
    99,782,976x = 149,267,592 × 149,267,592
  4. Step 4: Simplify right side
    99,782,976x = 22,280,814,021,478,464
  5. Step 5: Solve for x
    x = 22,280,814,021,478,464/99,782,976
  6. Step 6: Final answer
    x = 223,292,739.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.