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Finding the Third Proportional to 22,099.78 and 47,700.28

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Solution

The third proportional to 22,099.78 and 47,700.28 is: 102,956.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099.78 : 47,700.28 = 47,700.28 : x
  2. Step 2: Convert to fraction form
    22,099.78/47,700.28 = 47,700.28/x
  3. Step 3: Cross multiply
    22,099.78x = 47,700.28 × 47,700.28
  4. Step 4: Simplify right side
    22,099.78x = 2,275,316,831.33
  5. Step 5: Solve for x
    x = 2,275,316,831.33/22,099.78
  6. Step 6: Final answer
    x = 102,956.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.