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Finding the Third Proportional to 47,277,441 and 103,522,945.50

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Solution

The third proportional to 47,277,441 and 103,522,945.50 is: 226,683,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,277,441 : 103,522,945.50 = 103,522,945.50 : x
  2. Step 2: Convert to fraction form
    47,277,441/103,522,945.50 = 103,522,945.50/x
  3. Step 3: Cross multiply
    47,277,441x = 103,522,945.50 × 103,522,945.50
  4. Step 4: Simplify right side
    47,277,441x = 10,717,000,244,995,970
  5. Step 5: Solve for x
    x = 10,717,000,244,995,970/47,277,441
  6. Step 6: Final answer
    x = 226,683,171.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.