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Finding the Third Proportional to 101,488 and 216,224

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Solution

The third proportional to 101,488 and 216,224 is: 460,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,488 : 216,224 = 216,224 : x
  2. Step 2: Convert to fraction form
    101,488/216,224 = 216,224/x
  3. Step 3: Cross multiply
    101,488x = 216,224 × 216,224
  4. Step 4: Simplify right side
    101,488x = 46,752,818,176
  5. Step 5: Solve for x
    x = 46,752,818,176/101,488
  6. Step 6: Final answer
    x = 460,673.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.