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Finding the Third Proportional to 69,346.13 and 147,941.44

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Solution

The third proportional to 69,346.13 and 147,941.44 is: 315,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,346.13 : 147,941.44 = 147,941.44 : x
  2. Step 2: Convert to fraction form
    69,346.13/147,941.44 = 147,941.44/x
  3. Step 3: Cross multiply
    69,346.13x = 147,941.44 × 147,941.44
  4. Step 4: Simplify right side
    69,346.13x = 21,886,668,929.57
  5. Step 5: Solve for x
    x = 21,886,668,929.57/69,346.13
  6. Step 6: Final answer
    x = 315,614.88

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.