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Finding the Third Proportional to 46,615.50 and 101,148.75

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Solution

The third proportional to 46,615.50 and 101,148.75 is: 219,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,615.50 : 101,148.75 = 101,148.75 : x
  2. Step 2: Convert to fraction form
    46,615.50/101,148.75 = 101,148.75/x
  3. Step 3: Cross multiply
    46,615.50x = 101,148.75 × 101,148.75
  4. Step 4: Simplify right side
    46,615.50x = 10,231,069,626.56
  5. Step 5: Solve for x
    x = 10,231,069,626.56/46,615.50
  6. Step 6: Final answer
    x = 219,477.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.