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Finding the Third Proportional to 98,923.50 and 225,436.50

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Solution

The third proportional to 98,923.50 and 225,436.50 is: 513,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,923.50 : 225,436.50 = 225,436.50 : x
  2. Step 2: Convert to fraction form
    98,923.50/225,436.50 = 225,436.50/x
  3. Step 3: Cross multiply
    98,923.50x = 225,436.50 × 225,436.50
  4. Step 4: Simplify right side
    98,923.50x = 50,821,615,532.25
  5. Step 5: Solve for x
    x = 50,821,615,532.25/98,923.50
  6. Step 6: Final answer
    x = 513,746.64

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.