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Finding the Third Proportional to 98,661 and 213,087

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Solution

The third proportional to 98,661 and 213,087 is: 460,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,661 : 213,087 = 213,087 : x
  2. Step 2: Convert to fraction form
    98,661/213,087 = 213,087/x
  3. Step 3: Cross multiply
    98,661x = 213,087 × 213,087
  4. Step 4: Simplify right side
    98,661x = 45,406,069,569
  5. Step 5: Solve for x
    x = 45,406,069,569/98,661
  6. Step 6: Final answer
    x = 460,223.08

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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.