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Finding the Third Proportional to 98,045 and 146,335.50

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Solution

The third proportional to 98,045 and 146,335.50 is: 218,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,045 : 146,335.50 = 146,335.50 : x
  2. Step 2: Convert to fraction form
    98,045/146,335.50 = 146,335.50/x
  3. Step 3: Cross multiply
    98,045x = 146,335.50 × 146,335.50
  4. Step 4: Simplify right side
    98,045x = 21,414,078,560.25
  5. Step 5: Solve for x
    x = 21,414,078,560.25/98,045
  6. Step 6: Final answer
    x = 218,410.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.