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Finding the Third Proportional to 46,290 and 100,943

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Solution

The third proportional to 46,290 and 100,943 is: 220,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,290 : 100,943 = 100,943 : x
  2. Step 2: Convert to fraction form
    46,290/100,943 = 100,943/x
  3. Step 3: Cross multiply
    46,290x = 100,943 × 100,943
  4. Step 4: Simplify right side
    46,290x = 10,189,489,249
  5. Step 5: Solve for x
    x = 10,189,489,249/46,290
  6. Step 6: Final answer
    x = 220,122.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.