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Finding the Third Proportional to 106,565.63 and 235,364.06

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Solution

The third proportional to 106,565.63 and 235,364.06 is: 519,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,565.63 : 235,364.06 = 235,364.06 : x
  2. Step 2: Convert to fraction form
    106,565.63/235,364.06 = 235,364.06/x
  3. Step 3: Cross multiply
    106,565.63x = 235,364.06 × 235,364.06
  4. Step 4: Simplify right side
    106,565.63x = 55,396,241,916.50
  5. Step 5: Solve for x
    x = 55,396,241,916.50/106,565.63
  6. Step 6: Final answer
    x = 519,832.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.