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Finding the Third Proportional to 91,160 and 197,864

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Solution

The third proportional to 91,160 and 197,864 is: 429,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,160 : 197,864 = 197,864 : x
  2. Step 2: Convert to fraction form
    91,160/197,864 = 197,864/x
  3. Step 3: Cross multiply
    91,160x = 197,864 × 197,864
  4. Step 4: Simplify right side
    91,160x = 39,150,162,496
  5. Step 5: Solve for x
    x = 39,150,162,496/91,160
  6. Step 6: Final answer
    x = 429,466.46

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Why These Related Problems?

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