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Finding the Third Proportional to 46,215 and 101,049

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Solution

The third proportional to 46,215 and 101,049 is: 220,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,215 : 101,049 = 101,049 : x
  2. Step 2: Convert to fraction form
    46,215/101,049 = 101,049/x
  3. Step 3: Cross multiply
    46,215x = 101,049 × 101,049
  4. Step 4: Simplify right side
    46,215x = 10,210,900,401
  5. Step 5: Solve for x
    x = 10,210,900,401/46,215
  6. Step 6: Final answer
    x = 220,943.43

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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.