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Finding the Third Proportional to 69,242,035 and 149,974,398

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Solution

The third proportional to 69,242,035 and 149,974,398 is: 324,836,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,242,035 : 149,974,398 = 149,974,398 : x
  2. Step 2: Convert to fraction form
    69,242,035/149,974,398 = 149,974,398/x
  3. Step 3: Cross multiply
    69,242,035x = 149,974,398 × 149,974,398
  4. Step 4: Simplify right side
    69,242,035x = 22,492,320,055,462,404
  5. Step 5: Solve for x
    x = 22,492,320,055,462,404/69,242,035
  6. Step 6: Final answer
    x = 324,836,207.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.