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Finding the Third Proportional to 96,762,066 and 149,823,279

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Solution

The third proportional to 96,762,066 and 149,823,279 is: 231,981,559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,762,066 : 149,823,279 = 149,823,279 : x
  2. Step 2: Convert to fraction form
    96,762,066/149,823,279 = 149,823,279/x
  3. Step 3: Cross multiply
    96,762,066x = 149,823,279 × 149,823,279
  4. Step 4: Simplify right side
    96,762,066x = 22,447,014,930,311,840
  5. Step 5: Solve for x
    x = 22,447,014,930,311,840/96,762,066
  6. Step 6: Final answer
    x = 231,981,559.08

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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.