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Finding the Third Proportional to 102,642.19 and 163,447.88

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Solution

The third proportional to 102,642.19 and 163,447.88 is: 260,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,642.19 : 163,447.88 = 163,447.88 : x
  2. Step 2: Convert to fraction form
    102,642.19/163,447.88 = 163,447.88/x
  3. Step 3: Cross multiply
    102,642.19x = 163,447.88 × 163,447.88
  4. Step 4: Simplify right side
    102,642.19x = 26,715,207,842.02
  5. Step 5: Solve for x
    x = 26,715,207,842.02/102,642.19
  6. Step 6: Final answer
    x = 260,275.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.