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Finding the Third Proportional to 98,924 and 213,688

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Solution

The third proportional to 98,924 and 213,688 is: 461,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,924 : 213,688 = 213,688 : x
  2. Step 2: Convert to fraction form
    98,924/213,688 = 213,688/x
  3. Step 3: Cross multiply
    98,924x = 213,688 × 213,688
  4. Step 4: Simplify right side
    98,924x = 45,662,561,344
  5. Step 5: Solve for x
    x = 45,662,561,344/98,924
  6. Step 6: Final answer
    x = 461,592.35

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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.