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Finding the Third Proportional to 97,716.38 and 154,855.13

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Solution

The third proportional to 97,716.38 and 154,855.13 is: 245,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,716.38 : 154,855.13 = 154,855.13 : x
  2. Step 2: Convert to fraction form
    97,716.38/154,855.13 = 154,855.13/x
  3. Step 3: Cross multiply
    97,716.38x = 154,855.13 × 154,855.13
  4. Step 4: Simplify right side
    97,716.38x = 23,980,109,738.77
  5. Step 5: Solve for x
    x = 23,980,109,738.77/97,716.38
  6. Step 6: Final answer
    x = 245,405.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.