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Finding the Third Proportional to 45,500.13 and 68,886.63

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Solution

The third proportional to 45,500.13 and 68,886.63 is: 104,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,500.13 : 68,886.63 = 68,886.63 : x
  2. Step 2: Convert to fraction form
    45,500.13/68,886.63 = 68,886.63/x
  3. Step 3: Cross multiply
    45,500.13x = 68,886.63 × 68,886.63
  4. Step 4: Simplify right side
    45,500.13x = 4,745,367,103.89
  5. Step 5: Solve for x
    x = 4,745,367,103.89/45,500.13
  6. Step 6: Final answer
    x = 104,293.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.