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Finding the Third Proportional to 98,663 and 213,091

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Solution

The third proportional to 98,663 and 213,091 is: 460,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,663 : 213,091 = 213,091 : x
  2. Step 2: Convert to fraction form
    98,663/213,091 = 213,091/x
  3. Step 3: Cross multiply
    98,663x = 213,091 × 213,091
  4. Step 4: Simplify right side
    98,663x = 45,407,774,281
  5. Step 5: Solve for x
    x = 45,407,774,281/98,663
  6. Step 6: Final answer
    x = 460,231.03

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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.