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Finding the Third Proportional to 107,853.19 and 168,819.19

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Solution

The third proportional to 107,853.19 and 168,819.19 is: 264,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,853.19 : 168,819.19 = 168,819.19 : x
  2. Step 2: Convert to fraction form
    107,853.19/168,819.19 = 168,819.19/x
  3. Step 3: Cross multiply
    107,853.19x = 168,819.19 × 168,819.19
  4. Step 4: Simplify right side
    107,853.19x = 28,499,918,068.16
  5. Step 5: Solve for x
    x = 28,499,918,068.16/107,853.19
  6. Step 6: Final answer
    x = 264,247.34

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.