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Finding the Third Proportional to 47,222 and 103,030

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Solution

The third proportional to 47,222 and 103,030 is: 224,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,222 : 103,030 = 103,030 : x
  2. Step 2: Convert to fraction form
    47,222/103,030 = 103,030/x
  3. Step 3: Cross multiply
    47,222x = 103,030 × 103,030
  4. Step 4: Simplify right side
    47,222x = 10,615,180,900
  5. Step 5: Solve for x
    x = 10,615,180,900/47,222
  6. Step 6: Final answer
    x = 224,793.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.