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Finding the Third Proportional to 88,019 and 190,066.75

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Solution

The third proportional to 88,019 and 190,066.75 is: 410,426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,019 : 190,066.75 = 190,066.75 : x
  2. Step 2: Convert to fraction form
    88,019/190,066.75 = 190,066.75/x
  3. Step 3: Cross multiply
    88,019x = 190,066.75 × 190,066.75
  4. Step 4: Simplify right side
    88,019x = 36,125,369,455.56
  5. Step 5: Solve for x
    x = 36,125,369,455.56/88,019
  6. Step 6: Final answer
    x = 410,426.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.