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Finding the Third Proportional to 98,475.19 and 148,887.28

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Solution

The third proportional to 98,475.19 and 148,887.28 is: 225,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,475.19 : 148,887.28 = 148,887.28 : x
  2. Step 2: Convert to fraction form
    98,475.19/148,887.28 = 148,887.28/x
  3. Step 3: Cross multiply
    98,475.19x = 148,887.28 × 148,887.28
  4. Step 4: Simplify right side
    98,475.19x = 22,167,422,518.02
  5. Step 5: Solve for x
    x = 22,167,422,518.02/98,475.19
  6. Step 6: Final answer
    x = 225,106.68

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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.