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Finding the Third Proportional to 69,025,000 and 109,885,406

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Solution

The third proportional to 69,025,000 and 109,885,406 is: 174,933,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,025,000 : 109,885,406 = 109,885,406 : x
  2. Step 2: Convert to fraction form
    69,025,000/109,885,406 = 109,885,406/x
  3. Step 3: Cross multiply
    69,025,000x = 109,885,406 × 109,885,406
  4. Step 4: Simplify right side
    69,025,000x = 12,074,802,451,784,836
  5. Step 5: Solve for x
    x = 12,074,802,451,784,836/69,025,000
  6. Step 6: Final answer
    x = 174,933,755.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.