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Finding the Third Proportional to 90,849.75 and 199,009.50

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Solution

The third proportional to 90,849.75 and 199,009.50 is: 435,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,849.75 : 199,009.50 = 199,009.50 : x
  2. Step 2: Convert to fraction form
    90,849.75/199,009.50 = 199,009.50/x
  3. Step 3: Cross multiply
    90,849.75x = 199,009.50 × 199,009.50
  4. Step 4: Simplify right side
    90,849.75x = 39,604,781,090.25
  5. Step 5: Solve for x
    x = 39,604,781,090.25/90,849.75
  6. Step 6: Final answer
    x = 435,937.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.