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Finding the Third Proportional to 91,006 and 196,810

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Solution

The third proportional to 91,006 and 196,810 is: 425,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,006 : 196,810 = 196,810 : x
  2. Step 2: Convert to fraction form
    91,006/196,810 = 196,810/x
  3. Step 3: Cross multiply
    91,006x = 196,810 × 196,810
  4. Step 4: Simplify right side
    91,006x = 38,734,176,100
  5. Step 5: Solve for x
    x = 38,734,176,100/91,006
  6. Step 6: Final answer
    x = 425,622.22

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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.