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Finding the Third Proportional to 46,017 and 100,594.13

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Solution

The third proportional to 46,017 and 100,594.13 is: 219,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,017 : 100,594.13 = 100,594.13 : x
  2. Step 2: Convert to fraction form
    46,017/100,594.13 = 100,594.13/x
  3. Step 3: Cross multiply
    46,017x = 100,594.13 × 100,594.13
  4. Step 4: Simplify right side
    46,017x = 10,119,177,984.52
  5. Step 5: Solve for x
    x = 10,119,177,984.52/46,017
  6. Step 6: Final answer
    x = 219,900.86

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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.