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Finding the Third Proportional to 43,902 and 93,028.50

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Solution

The third proportional to 43,902 and 93,028.50 is: 197,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,902 : 93,028.50 = 93,028.50 : x
  2. Step 2: Convert to fraction form
    43,902/93,028.50 = 93,028.50/x
  3. Step 3: Cross multiply
    43,902x = 93,028.50 × 93,028.50
  4. Step 4: Simplify right side
    43,902x = 8,654,301,812.25
  5. Step 5: Solve for x
    x = 8,654,301,812.25/43,902
  6. Step 6: Final answer
    x = 197,127.73

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.