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Finding the Third Proportional to 98,773.88 and 209,302.88

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Solution

The third proportional to 98,773.88 and 209,302.88 is: 443,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,773.88 : 209,302.88 = 209,302.88 : x
  2. Step 2: Convert to fraction form
    98,773.88/209,302.88 = 209,302.88/x
  3. Step 3: Cross multiply
    98,773.88x = 209,302.88 × 209,302.88
  4. Step 4: Simplify right side
    98,773.88x = 43,807,693,483.27
  5. Step 5: Solve for x
    x = 43,807,693,483.27/98,773.88
  6. Step 6: Final answer
    x = 443,514.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.