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Finding the Third Proportional to 44,779.50 and 98,307

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Solution

The third proportional to 44,779.50 and 98,307 is: 215,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,779.50 : 98,307 = 98,307 : x
  2. Step 2: Convert to fraction form
    44,779.50/98,307 = 98,307/x
  3. Step 3: Cross multiply
    44,779.50x = 98,307 × 98,307
  4. Step 4: Simplify right side
    44,779.50x = 9,664,266,249
  5. Step 5: Solve for x
    x = 9,664,266,249/44,779.50
  6. Step 6: Final answer
    x = 215,818.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.