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Finding the Third Proportional to 98,140.50 and 155,658.38

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Solution

The third proportional to 98,140.50 and 155,658.38 is: 246,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,140.50 : 155,658.38 = 155,658.38 : x
  2. Step 2: Convert to fraction form
    98,140.50/155,658.38 = 155,658.38/x
  3. Step 3: Cross multiply
    98,140.50x = 155,658.38 × 155,658.38
  4. Step 4: Simplify right side
    98,140.50x = 24,229,529,707.64
  5. Step 5: Solve for x
    x = 24,229,529,707.64/98,140.50
  6. Step 6: Final answer
    x = 246,886.14

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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.