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Finding the Third Proportional to 69,498 and 151,429.50

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Solution

The third proportional to 69,498 and 151,429.50 is: 329,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,498 : 151,429.50 = 151,429.50 : x
  2. Step 2: Convert to fraction form
    69,498/151,429.50 = 151,429.50/x
  3. Step 3: Cross multiply
    69,498x = 151,429.50 × 151,429.50
  4. Step 4: Simplify right side
    69,498x = 22,930,893,470.25
  5. Step 5: Solve for x
    x = 22,930,893,470.25/69,498
  6. Step 6: Final answer
    x = 329,950.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.