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Finding the Third Proportional to 107,876.81 and 235,436.63

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Solution

The third proportional to 107,876.81 and 235,436.63 is: 513,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,876.81 : 235,436.63 = 235,436.63 : x
  2. Step 2: Convert to fraction form
    107,876.81/235,436.63 = 235,436.63/x
  3. Step 3: Cross multiply
    107,876.81x = 235,436.63 × 235,436.63
  4. Step 4: Simplify right side
    107,876.81x = 55,430,404,391.39
  5. Step 5: Solve for x
    x = 55,430,404,391.39/107,876.81
  6. Step 6: Final answer
    x = 513,830.57

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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.