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Finding the Third Proportional to 106,521.75 and 232,111.13

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Solution

The third proportional to 106,521.75 and 232,111.13 is: 505,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,521.75 : 232,111.13 = 232,111.13 : x
  2. Step 2: Convert to fraction form
    106,521.75/232,111.13 = 232,111.13/x
  3. Step 3: Cross multiply
    106,521.75x = 232,111.13 × 232,111.13
  4. Step 4: Simplify right side
    106,521.75x = 53,875,574,348.77
  5. Step 5: Solve for x
    x = 53,875,574,348.77/106,521.75
  6. Step 6: Final answer
    x = 505,770.65

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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.