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Finding the Third Proportional to 107,848.13 and 166,821.19

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Solution

The third proportional to 107,848.13 and 166,821.19 is: 258,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,848.13 : 166,821.19 = 166,821.19 : x
  2. Step 2: Convert to fraction form
    107,848.13/166,821.19 = 166,821.19/x
  3. Step 3: Cross multiply
    107,848.13x = 166,821.19 × 166,821.19
  4. Step 4: Simplify right side
    107,848.13x = 27,829,308,598.91
  5. Step 5: Solve for x
    x = 27,829,308,598.91/107,848.13
  6. Step 6: Final answer
    x = 258,041.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.