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Finding the Third Proportional to 98,866 and 213,284

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Solution

The third proportional to 98,866 and 213,284 is: 460,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,866 : 213,284 = 213,284 : x
  2. Step 2: Convert to fraction form
    98,866/213,284 = 213,284/x
  3. Step 3: Cross multiply
    98,866x = 213,284 × 213,284
  4. Step 4: Simplify right side
    98,866x = 45,490,064,656
  5. Step 5: Solve for x
    x = 45,490,064,656/98,866
  6. Step 6: Final answer
    x = 460,118.39

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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.