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Finding the Third Proportional to 98,296.50 and 148,259.25

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Solution

The third proportional to 98,296.50 and 148,259.25 is: 223,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,296.50 : 148,259.25 = 148,259.25 : x
  2. Step 2: Convert to fraction form
    98,296.50/148,259.25 = 148,259.25/x
  3. Step 3: Cross multiply
    98,296.50x = 148,259.25 × 148,259.25
  4. Step 4: Simplify right side
    98,296.50x = 21,980,805,210.56
  5. Step 5: Solve for x
    x = 21,980,805,210.56/98,296.50
  6. Step 6: Final answer
    x = 223,617.37

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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.