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Finding the Third Proportional to 98,788 and 213,014

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Solution

The third proportional to 98,788 and 213,014 is: 459,316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,788 : 213,014 = 213,014 : x
  2. Step 2: Convert to fraction form
    98,788/213,014 = 213,014/x
  3. Step 3: Cross multiply
    98,788x = 213,014 × 213,014
  4. Step 4: Simplify right side
    98,788x = 45,374,964,196
  5. Step 5: Solve for x
    x = 45,374,964,196/98,788
  6. Step 6: Final answer
    x = 459,316.56

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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.