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Finding the Third Proportional to 83,448.50 and 185,555.50

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Solution

The third proportional to 83,448.50 and 185,555.50 is: 412,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,448.50 : 185,555.50 = 185,555.50 : x
  2. Step 2: Convert to fraction form
    83,448.50/185,555.50 = 185,555.50/x
  3. Step 3: Cross multiply
    83,448.50x = 185,555.50 × 185,555.50
  4. Step 4: Simplify right side
    83,448.50x = 34,430,843,580.25
  5. Step 5: Solve for x
    x = 34,430,843,580.25/83,448.50
  6. Step 6: Final answer
    x = 412,599.91

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.