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Finding the Third Proportional to 98,652 and 213,070

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Solution

The third proportional to 98,652 and 213,070 is: 460,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,652 : 213,070 = 213,070 : x
  2. Step 2: Convert to fraction form
    98,652/213,070 = 213,070/x
  3. Step 3: Cross multiply
    98,652x = 213,070 × 213,070
  4. Step 4: Simplify right side
    98,652x = 45,398,824,900
  5. Step 5: Solve for x
    x = 45,398,824,900/98,652
  6. Step 6: Final answer
    x = 460,191.63

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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.