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Finding the Third Proportional to 98,801.44 and 216,806.63

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Solution

The third proportional to 98,801.44 and 216,806.63 is: 475,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,801.44 : 216,806.63 = 216,806.63 : x
  2. Step 2: Convert to fraction form
    98,801.44/216,806.63 = 216,806.63/x
  3. Step 3: Cross multiply
    98,801.44x = 216,806.63 × 216,806.63
  4. Step 4: Simplify right side
    98,801.44x = 47,005,112,643.89
  5. Step 5: Solve for x
    x = 47,005,112,643.89/98,801.44
  6. Step 6: Final answer
    x = 475,753.33

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