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Finding the Third Proportional to 98,779.50 and 223,985.25

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Solution

The third proportional to 98,779.50 and 223,985.25 is: 507,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,779.50 : 223,985.25 = 223,985.25 : x
  2. Step 2: Convert to fraction form
    98,779.50/223,985.25 = 223,985.25/x
  3. Step 3: Cross multiply
    98,779.50x = 223,985.25 × 223,985.25
  4. Step 4: Simplify right side
    98,779.50x = 50,169,392,217.56
  5. Step 5: Solve for x
    x = 50,169,392,217.56/98,779.50
  6. Step 6: Final answer
    x = 507,892.75

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.