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Finding the Third Proportional to 47,151,805 and 103,069,096

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Solution

The third proportional to 47,151,805 and 103,069,096 is: 225,298,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,151,805 : 103,069,096 = 103,069,096 : x
  2. Step 2: Convert to fraction form
    47,151,805/103,069,096 = 103,069,096/x
  3. Step 3: Cross multiply
    47,151,805x = 103,069,096 × 103,069,096
  4. Step 4: Simplify right side
    47,151,805x = 10,623,238,550,257,216
  5. Step 5: Solve for x
    x = 10,623,238,550,257,216/47,151,805
  6. Step 6: Final answer
    x = 225,298,661.42

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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.