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Finding the Third Proportional to 91,445.06 and 198,730.69

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Solution

The third proportional to 91,445.06 and 198,730.69 is: 431,886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,445.06 : 198,730.69 = 198,730.69 : x
  2. Step 2: Convert to fraction form
    91,445.06/198,730.69 = 198,730.69/x
  3. Step 3: Cross multiply
    91,445.06x = 198,730.69 × 198,730.69
  4. Step 4: Simplify right side
    91,445.06x = 39,493,886,154.22
  5. Step 5: Solve for x
    x = 39,493,886,154.22/91,445.06
  6. Step 6: Final answer
    x = 431,886.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.