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Finding the Third Proportional to 66,444 and 99,664.50

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Solution

The third proportional to 66,444 and 99,664.50 is: 149,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,444 : 99,664.50 = 99,664.50 : x
  2. Step 2: Convert to fraction form
    66,444/99,664.50 = 99,664.50/x
  3. Step 3: Cross multiply
    66,444x = 99,664.50 × 99,664.50
  4. Step 4: Simplify right side
    66,444x = 9,933,012,560.25
  5. Step 5: Solve for x
    x = 9,933,012,560.25/66,444
  6. Step 6: Final answer
    x = 149,494.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.