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Finding the Third Proportional to 129,298.75 and 201,806.19

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Solution

The third proportional to 129,298.75 and 201,806.19 is: 314,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,298.75 : 201,806.19 = 201,806.19 : x
  2. Step 2: Convert to fraction form
    129,298.75/201,806.19 = 201,806.19/x
  3. Step 3: Cross multiply
    129,298.75x = 201,806.19 × 201,806.19
  4. Step 4: Simplify right side
    129,298.75x = 40,725,737,313.29
  5. Step 5: Solve for x
    x = 40,725,737,313.29/129,298.75
  6. Step 6: Final answer
    x = 314,973.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.