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Finding the Third Proportional to 48,222 and 104,701.50

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Solution

The third proportional to 48,222 and 104,701.50 is: 227,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,222 : 104,701.50 = 104,701.50 : x
  2. Step 2: Convert to fraction form
    48,222/104,701.50 = 104,701.50/x
  3. Step 3: Cross multiply
    48,222x = 104,701.50 × 104,701.50
  4. Step 4: Simplify right side
    48,222x = 10,962,404,102.25
  5. Step 5: Solve for x
    x = 10,962,404,102.25/48,222
  6. Step 6: Final answer
    x = 227,332.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.