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Finding the Third Proportional to 66,101.91 and 100,701.98

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Solution

The third proportional to 66,101.91 and 100,701.98 is: 153,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,101.91 : 100,701.98 = 100,701.98 : x
  2. Step 2: Convert to fraction form
    66,101.91/100,701.98 = 100,701.98/x
  3. Step 3: Cross multiply
    66,101.91x = 100,701.98 × 100,701.98
  4. Step 4: Simplify right side
    66,101.91x = 10,140,889,657.06
  5. Step 5: Solve for x
    x = 10,140,889,657.06/66,101.91
  6. Step 6: Final answer
    x = 153,412.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.