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Finding the Third Proportional to 98,702 and 201,068

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Solution

The third proportional to 98,702 and 201,068 is: 409,600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,702 : 201,068 = 201,068 : x
  2. Step 2: Convert to fraction form
    98,702/201,068 = 201,068/x
  3. Step 3: Cross multiply
    98,702x = 201,068 × 201,068
  4. Step 4: Simplify right side
    98,702x = 40,428,340,624
  5. Step 5: Solve for x
    x = 40,428,340,624/98,702
  6. Step 6: Final answer
    x = 409,600.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.