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Finding the Third Proportional to 46,205 and 100,753

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Solution

The third proportional to 46,205 and 100,753 is: 219,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,205 : 100,753 = 100,753 : x
  2. Step 2: Convert to fraction form
    46,205/100,753 = 100,753/x
  3. Step 3: Cross multiply
    46,205x = 100,753 × 100,753
  4. Step 4: Simplify right side
    46,205x = 10,151,167,009
  5. Step 5: Solve for x
    x = 10,151,167,009/46,205
  6. Step 6: Final answer
    x = 219,698.45

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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.