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Finding the Third Proportional to 45,439.88 and 93,083.63

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Solution

The third proportional to 45,439.88 and 93,083.63 is: 190,681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,439.88 : 93,083.63 = 93,083.63 : x
  2. Step 2: Convert to fraction form
    45,439.88/93,083.63 = 93,083.63/x
  3. Step 3: Cross multiply
    45,439.88x = 93,083.63 × 93,083.63
  4. Step 4: Simplify right side
    45,439.88x = 8,664,561,243.14
  5. Step 5: Solve for x
    x = 8,664,561,243.14/45,439.88
  6. Step 6: Final answer
    x = 190,681.89

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.