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Finding the Third Proportional to 46,732.64 and 101,352.66

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Solution

The third proportional to 46,732.64 and 101,352.66 is: 219,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,732.64 : 101,352.66 = 101,352.66 : x
  2. Step 2: Convert to fraction form
    46,732.64/101,352.66 = 101,352.66/x
  3. Step 3: Cross multiply
    46,732.64x = 101,352.66 × 101,352.66
  4. Step 4: Simplify right side
    46,732.64x = 10,272,360,928.93
  5. Step 5: Solve for x
    x = 10,272,360,928.93/46,732.64
  6. Step 6: Final answer
    x = 219,811.27

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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.