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Finding the Third Proportional to 69,025,005 and 109,885,414.50

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Solution

The third proportional to 69,025,005 and 109,885,414.50 is: 174,933,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,025,005 : 109,885,414.50 = 109,885,414.50 : x
  2. Step 2: Convert to fraction form
    69,025,005/109,885,414.50 = 109,885,414.50/x
  3. Step 3: Cross multiply
    69,025,005x = 109,885,414.50 × 109,885,414.50
  4. Step 4: Simplify right side
    69,025,005x = 12,074,804,319,836,810
  5. Step 5: Solve for x
    x = 12,074,804,319,836,810/69,025,005
  6. Step 6: Final answer
    x = 174,933,769.58

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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.