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Finding the Third Proportional to 89,141.75 and 195,779.75

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Solution

The third proportional to 89,141.75 and 195,779.75 is: 429,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,141.75 : 195,779.75 = 195,779.75 : x
  2. Step 2: Convert to fraction form
    89,141.75/195,779.75 = 195,779.75/x
  3. Step 3: Cross multiply
    89,141.75x = 195,779.75 × 195,779.75
  4. Step 4: Simplify right side
    89,141.75x = 38,329,710,510.06
  5. Step 5: Solve for x
    x = 38,329,710,510.06/89,141.75
  6. Step 6: Final answer
    x = 429,986.07

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