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Finding the Third Proportional to 47,749,206.38 and 102,305,428.31

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Solution

The third proportional to 47,749,206.38 and 102,305,428.31 is: 219,195,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,749,206.38 : 102,305,428.31 = 102,305,428.31 : x
  2. Step 2: Convert to fraction form
    47,749,206.38/102,305,428.31 = 102,305,428.31/x
  3. Step 3: Cross multiply
    47,749,206.38x = 102,305,428.31 × 102,305,428.31
  4. Step 4: Simplify right side
    47,749,206.38x = 10,466,400,662,204,076
  5. Step 5: Solve for x
    x = 10,466,400,662,204,076/47,749,206.38
  6. Step 6: Final answer
    x = 219,195,280.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.