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Finding the Third Proportional to 91,207 and 195,023

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Solution

The third proportional to 91,207 and 195,023 is: 417,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,207 : 195,023 = 195,023 : x
  2. Step 2: Convert to fraction form
    91,207/195,023 = 195,023/x
  3. Step 3: Cross multiply
    91,207x = 195,023 × 195,023
  4. Step 4: Simplify right side
    91,207x = 38,033,970,529
  5. Step 5: Solve for x
    x = 38,033,970,529/91,207
  6. Step 6: Final answer
    x = 417,007.14

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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.