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Finding the Third Proportional to 45,319.50 and 98,106.75

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Solution

The third proportional to 45,319.50 and 98,106.75 is: 212,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,319.50 : 98,106.75 = 98,106.75 : x
  2. Step 2: Convert to fraction form
    45,319.50/98,106.75 = 98,106.75/x
  3. Step 3: Cross multiply
    45,319.50x = 98,106.75 × 98,106.75
  4. Step 4: Simplify right side
    45,319.50x = 9,624,934,395.56
  5. Step 5: Solve for x
    x = 9,624,934,395.56/45,319.50
  6. Step 6: Final answer
    x = 212,379.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.