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Finding the Third Proportional to 51,641.72 and 109,483.31

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Solution

The third proportional to 51,641.72 and 109,483.31 is: 232,110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,641.72 : 109,483.31 = 109,483.31 : x
  2. Step 2: Convert to fraction form
    51,641.72/109,483.31 = 109,483.31/x
  3. Step 3: Cross multiply
    51,641.72x = 109,483.31 × 109,483.31
  4. Step 4: Simplify right side
    51,641.72x = 11,986,595,715.97
  5. Step 5: Solve for x
    x = 11,986,595,715.97/51,641.72
  6. Step 6: Final answer
    x = 232,110.70

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.