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Finding the Third Proportional to 45,302.75 and 96,437.50

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Solution

The third proportional to 45,302.75 and 96,437.50 is: 205,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,302.75 : 96,437.50 = 96,437.50 : x
  2. Step 2: Convert to fraction form
    45,302.75/96,437.50 = 96,437.50/x
  3. Step 3: Cross multiply
    45,302.75x = 96,437.50 × 96,437.50
  4. Step 4: Simplify right side
    45,302.75x = 9,300,191,406.25
  5. Step 5: Solve for x
    x = 9,300,191,406.25/45,302.75
  6. Step 6: Final answer
    x = 205,289.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.