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Finding the Third Proportional to 45,395.44 and 99,083.25

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Solution

The third proportional to 45,395.44 and 99,083.25 is: 216,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,395.44 : 99,083.25 = 99,083.25 : x
  2. Step 2: Convert to fraction form
    45,395.44/99,083.25 = 99,083.25/x
  3. Step 3: Cross multiply
    45,395.44x = 99,083.25 × 99,083.25
  4. Step 4: Simplify right side
    45,395.44x = 9,817,490,430.56
  5. Step 5: Solve for x
    x = 9,817,490,430.56/45,395.44
  6. Step 6: Final answer
    x = 216,266.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.