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Finding the Third Proportional to 131,181.19 and 202,569.19

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Solution

The third proportional to 131,181.19 and 202,569.19 is: 312,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,181.19 : 202,569.19 = 202,569.19 : x
  2. Step 2: Convert to fraction form
    131,181.19/202,569.19 = 202,569.19/x
  3. Step 3: Cross multiply
    131,181.19x = 202,569.19 × 202,569.19
  4. Step 4: Simplify right side
    131,181.19x = 41,034,275,724.41
  5. Step 5: Solve for x
    x = 41,034,275,724.41/131,181.19
  6. Step 6: Final answer
    x = 312,806.10

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.