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Finding the Third Proportional to 46,108 and 101,048

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Solution

The third proportional to 46,108 and 101,048 is: 221,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,108 : 101,048 = 101,048 : x
  2. Step 2: Convert to fraction form
    46,108/101,048 = 101,048/x
  3. Step 3: Cross multiply
    46,108x = 101,048 × 101,048
  4. Step 4: Simplify right side
    46,108x = 10,210,698,304
  5. Step 5: Solve for x
    x = 10,210,698,304/46,108
  6. Step 6: Final answer
    x = 221,451.77

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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.