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Finding the Third Proportional to 104,166.19 and 147,491.16

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Solution

The third proportional to 104,166.19 and 147,491.16 is: 208,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,166.19 : 147,491.16 = 147,491.16 : x
  2. Step 2: Convert to fraction form
    104,166.19/147,491.16 = 147,491.16/x
  3. Step 3: Cross multiply
    104,166.19x = 147,491.16 × 147,491.16
  4. Step 4: Simplify right side
    104,166.19x = 21,753,641,171.96
  5. Step 5: Solve for x
    x = 21,753,641,171.96/104,166.19
  6. Step 6: Final answer
    x = 208,835.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.