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Finding the Third Proportional to 144,193.50 and 215,095.50

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Solution

The third proportional to 144,193.50 and 215,095.50 is: 320,861.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,193.50 : 215,095.50 = 215,095.50 : x
  2. Step 2: Convert to fraction form
    144,193.50/215,095.50 = 215,095.50/x
  3. Step 3: Cross multiply
    144,193.50x = 215,095.50 × 215,095.50
  4. Step 4: Simplify right side
    144,193.50x = 46,266,074,120.25
  5. Step 5: Solve for x
    x = 46,266,074,120.25/144,193.50
  6. Step 6: Final answer
    x = 320,861.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.