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Finding the Third Proportional to 99,798,786 and 149,291,811

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Solution

The third proportional to 99,798,786 and 149,291,811 is: 223,329,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,798,786 : 149,291,811 = 149,291,811 : x
  2. Step 2: Convert to fraction form
    99,798,786/149,291,811 = 149,291,811/x
  3. Step 3: Cross multiply
    99,798,786x = 149,291,811 × 149,291,811
  4. Step 4: Simplify right side
    99,798,786x = 22,288,044,831,659,720
  5. Step 5: Solve for x
    x = 22,288,044,831,659,720/99,798,786
  6. Step 6: Final answer
    x = 223,329,819.18

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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.