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Finding the Third Proportional to 98,904.38 and 155,039.06

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Solution

The third proportional to 98,904.38 and 155,039.06 is: 243,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,904.38 : 155,039.06 = 155,039.06 : x
  2. Step 2: Convert to fraction form
    98,904.38/155,039.06 = 155,039.06/x
  3. Step 3: Cross multiply
    98,904.38x = 155,039.06 × 155,039.06
  4. Step 4: Simplify right side
    98,904.38x = 24,037,110,900.88
  5. Step 5: Solve for x
    x = 24,037,110,900.88/98,904.38
  6. Step 6: Final answer
    x = 243,033.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.