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Finding the Third Proportional to 47,350,144.69 and 101,749,258.69

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Solution

The third proportional to 47,350,144.69 and 101,749,258.69 is: 218,645,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,350,144.69 : 101,749,258.69 = 101,749,258.69 : x
  2. Step 2: Convert to fraction form
    47,350,144.69/101,749,258.69 = 101,749,258.69/x
  3. Step 3: Cross multiply
    47,350,144.69x = 101,749,258.69 × 101,749,258.69
  4. Step 4: Simplify right side
    47,350,144.69x = 10,352,911,643,455,794
  5. Step 5: Solve for x
    x = 10,352,911,643,455,794/47,350,144.69
  6. Step 6: Final answer
    x = 218,645,829.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.