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Finding the Third Proportional to 43,461 and 90,951.75

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Solution

The third proportional to 43,461 and 90,951.75 is: 190,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,461 : 90,951.75 = 90,951.75 : x
  2. Step 2: Convert to fraction form
    43,461/90,951.75 = 90,951.75/x
  3. Step 3: Cross multiply
    43,461x = 90,951.75 × 90,951.75
  4. Step 4: Simplify right side
    43,461x = 8,272,220,828.06
  5. Step 5: Solve for x
    x = 8,272,220,828.06/43,461
  6. Step 6: Final answer
    x = 190,336.64

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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.