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Finding the Third Proportional to 100,449 and 146,902.50

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Solution

The third proportional to 100,449 and 146,902.50 is: 214,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,449 : 146,902.50 = 146,902.50 : x
  2. Step 2: Convert to fraction form
    100,449/146,902.50 = 146,902.50/x
  3. Step 3: Cross multiply
    100,449x = 146,902.50 × 146,902.50
  4. Step 4: Simplify right side
    100,449x = 21,580,344,506.25
  5. Step 5: Solve for x
    x = 21,580,344,506.25/100,449
  6. Step 6: Final answer
    x = 214,838.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.