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Finding the Third Proportional to 47,749,403.81 and 102,305,818.13

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Solution

The third proportional to 47,749,403.81 and 102,305,818.13 is: 219,196,044.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,749,403.81 : 102,305,818.13 = 102,305,818.13 : x
  2. Step 2: Convert to fraction form
    47,749,403.81/102,305,818.13 = 102,305,818.13/x
  3. Step 3: Cross multiply
    47,749,403.81x = 102,305,818.13 × 102,305,818.13
  4. Step 4: Simplify right side
    47,749,403.81x = 10,466,480,422,225,578
  5. Step 5: Solve for x
    x = 10,466,480,422,225,578/47,749,403.81
  6. Step 6: Final answer
    x = 219,196,044.07

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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.