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Finding the Third Proportional to 105,526 and 221,987

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Solution

The third proportional to 105,526 and 221,987 is: 466,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,526 : 221,987 = 221,987 : x
  2. Step 2: Convert to fraction form
    105,526/221,987 = 221,987/x
  3. Step 3: Cross multiply
    105,526x = 221,987 × 221,987
  4. Step 4: Simplify right side
    105,526x = 49,278,228,169
  5. Step 5: Solve for x
    x = 49,278,228,169/105,526
  6. Step 6: Final answer
    x = 466,977.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.