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Finding the Third Proportional to 103,680 and 154,806.19

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Solution

The third proportional to 103,680 and 154,806.19 is: 231,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,680 : 154,806.19 = 154,806.19 : x
  2. Step 2: Convert to fraction form
    103,680/154,806.19 = 154,806.19/x
  3. Step 3: Cross multiply
    103,680x = 154,806.19 × 154,806.19
  4. Step 4: Simplify right side
    103,680x = 23,964,955,688.29
  5. Step 5: Solve for x
    x = 23,964,955,688.29/103,680
  6. Step 6: Final answer
    x = 231,143.48

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Why These Related Problems?

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