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Finding the Third Proportional to 91,948.50 and 197,019

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Solution

The third proportional to 91,948.50 and 197,019 is: 422,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,948.50 : 197,019 = 197,019 : x
  2. Step 2: Convert to fraction form
    91,948.50/197,019 = 197,019/x
  3. Step 3: Cross multiply
    91,948.50x = 197,019 × 197,019
  4. Step 4: Simplify right side
    91,948.50x = 38,816,486,361
  5. Step 5: Solve for x
    x = 38,816,486,361/91,948.50
  6. Step 6: Final answer
    x = 422,154.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.