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Finding the Third Proportional to 91,008 and 196,814

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Solution

The third proportional to 91,008 and 196,814 is: 425,630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,008 : 196,814 = 196,814 : x
  2. Step 2: Convert to fraction form
    91,008/196,814 = 196,814/x
  3. Step 3: Cross multiply
    91,008x = 196,814 × 196,814
  4. Step 4: Simplify right side
    91,008x = 38,735,750,596
  5. Step 5: Solve for x
    x = 38,735,750,596/91,008
  6. Step 6: Final answer
    x = 425,630.17

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Why These Related Problems?

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