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Finding the Third Proportional to 98,403.75 and 148,299.19

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Solution

The third proportional to 98,403.75 and 148,299.19 is: 223,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,403.75 : 148,299.19 = 148,299.19 : x
  2. Step 2: Convert to fraction form
    98,403.75/148,299.19 = 148,299.19/x
  3. Step 3: Cross multiply
    98,403.75x = 148,299.19 × 148,299.19
  4. Step 4: Simplify right side
    98,403.75x = 21,992,649,013.16
  5. Step 5: Solve for x
    x = 21,992,649,013.16/98,403.75
  6. Step 6: Final answer
    x = 223,494.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.