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Finding the Third Proportional to 45,276.50 and 98,967

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Solution

The third proportional to 45,276.50 and 98,967 is: 216,325.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,276.50 : 98,967 = 98,967 : x
  2. Step 2: Convert to fraction form
    45,276.50/98,967 = 98,967/x
  3. Step 3: Cross multiply
    45,276.50x = 98,967 × 98,967
  4. Step 4: Simplify right side
    45,276.50x = 9,794,467,089
  5. Step 5: Solve for x
    x = 9,794,467,089/45,276.50
  6. Step 6: Final answer
    x = 216,325.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.