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Finding the Third Proportional to 69,006.94 and 147,850.88

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Solution

The third proportional to 69,006.94 and 147,850.88 is: 316,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,006.94 : 147,850.88 = 147,850.88 : x
  2. Step 2: Convert to fraction form
    69,006.94/147,850.88 = 147,850.88/x
  3. Step 3: Cross multiply
    69,006.94x = 147,850.88 × 147,850.88
  4. Step 4: Simplify right side
    69,006.94x = 21,859,881,238.27
  5. Step 5: Solve for x
    x = 21,859,881,238.27/69,006.94
  6. Step 6: Final answer
    x = 316,778.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.