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Finding the Third Proportional to 106,206.19 and 221,707.13

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Solution

The third proportional to 106,206.19 and 221,707.13 is: 462,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,206.19 : 221,707.13 = 221,707.13 : x
  2. Step 2: Convert to fraction form
    106,206.19/221,707.13 = 221,707.13/x
  3. Step 3: Cross multiply
    106,206.19x = 221,707.13 × 221,707.13
  4. Step 4: Simplify right side
    106,206.19x = 49,154,049,275.77
  5. Step 5: Solve for x
    x = 49,154,049,275.77/106,206.19
  6. Step 6: Final answer
    x = 462,817.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.