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Finding the Third Proportional to 45,309.75 and 93,805.50

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Solution

The third proportional to 45,309.75 and 93,805.50 is: 194,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,309.75 : 93,805.50 = 93,805.50 : x
  2. Step 2: Convert to fraction form
    45,309.75/93,805.50 = 93,805.50/x
  3. Step 3: Cross multiply
    45,309.75x = 93,805.50 × 93,805.50
  4. Step 4: Simplify right side
    45,309.75x = 8,799,471,830.25
  5. Step 5: Solve for x
    x = 8,799,471,830.25/45,309.75
  6. Step 6: Final answer
    x = 194,207.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.