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Finding the Third Proportional to 98,121.94 and 155,627.16

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Solution

The third proportional to 98,121.94 and 155,627.16 is: 246,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,121.94 : 155,627.16 = 155,627.16 : x
  2. Step 2: Convert to fraction form
    98,121.94/155,627.16 = 155,627.16/x
  3. Step 3: Cross multiply
    98,121.94x = 155,627.16 × 155,627.16
  4. Step 4: Simplify right side
    98,121.94x = 24,219,811,762.46
  5. Step 5: Solve for x
    x = 24,219,811,762.46/98,121.94
  6. Step 6: Final answer
    x = 246,833.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.