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Finding the Third Proportional to 102,766,998 and 150,291,825

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Solution

The third proportional to 102,766,998 and 150,291,825 is: 219,794,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,766,998 : 150,291,825 = 150,291,825 : x
  2. Step 2: Convert to fraction form
    102,766,998/150,291,825 = 150,291,825/x
  3. Step 3: Cross multiply
    102,766,998x = 150,291,825 × 150,291,825
  4. Step 4: Simplify right side
    102,766,998x = 22,587,632,661,830,624
  5. Step 5: Solve for x
    x = 22,587,632,661,830,624/102,766,998
  6. Step 6: Final answer
    x = 219,794,614.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.