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Finding the Third Proportional to 46,134 and 100,884.25

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Solution

The third proportional to 46,134 and 100,884.25 is: 220,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,134 : 100,884.25 = 100,884.25 : x
  2. Step 2: Convert to fraction form
    46,134/100,884.25 = 100,884.25/x
  3. Step 3: Cross multiply
    46,134x = 100,884.25 × 100,884.25
  4. Step 4: Simplify right side
    46,134x = 10,177,631,898.06
  5. Step 5: Solve for x
    x = 10,177,631,898.06/46,134
  6. Step 6: Final answer
    x = 220,610.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.