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Finding the Third Proportional to 46,988.53 and 110,884.69

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Solution

The third proportional to 46,988.53 and 110,884.69 is: 261,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,988.53 : 110,884.69 = 110,884.69 : x
  2. Step 2: Convert to fraction form
    46,988.53/110,884.69 = 110,884.69/x
  3. Step 3: Cross multiply
    46,988.53x = 110,884.69 × 110,884.69
  4. Step 4: Simplify right side
    46,988.53x = 12,295,413,921.97
  5. Step 5: Solve for x
    x = 12,295,413,921.97/46,988.53
  6. Step 6: Final answer
    x = 261,668.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.