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Finding the Third Proportional to 98,779.50 and 213,354.50

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Solution

The third proportional to 98,779.50 and 213,354.50 is: 460,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,779.50 : 213,354.50 = 213,354.50 : x
  2. Step 2: Convert to fraction form
    98,779.50/213,354.50 = 213,354.50/x
  3. Step 3: Cross multiply
    98,779.50x = 213,354.50 × 213,354.50
  4. Step 4: Simplify right side
    98,779.50x = 45,520,142,670.25
  5. Step 5: Solve for x
    x = 45,520,142,670.25/98,779.50
  6. Step 6: Final answer
    x = 460,825.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.