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Finding the Third Proportional to 90,751.50 and 197,032.50

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Solution

The third proportional to 90,751.50 and 197,032.50 is: 427,781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,751.50 : 197,032.50 = 197,032.50 : x
  2. Step 2: Convert to fraction form
    90,751.50/197,032.50 = 197,032.50/x
  3. Step 3: Cross multiply
    90,751.50x = 197,032.50 × 197,032.50
  4. Step 4: Simplify right side
    90,751.50x = 38,821,806,056.25
  5. Step 5: Solve for x
    x = 38,821,806,056.25/90,751.50
  6. Step 6: Final answer
    x = 427,781.43

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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.