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Finding the Third Proportional to 47,982,014.63 and 103,609,639.50

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Solution

The third proportional to 47,982,014.63 and 103,609,639.50 is: 223,728,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,982,014.63 : 103,609,639.50 = 103,609,639.50 : x
  2. Step 2: Convert to fraction form
    47,982,014.63/103,609,639.50 = 103,609,639.50/x
  3. Step 3: Cross multiply
    47,982,014.63x = 103,609,639.50 × 103,609,639.50
  4. Step 4: Simplify right side
    47,982,014.63x = 10,734,957,397,319,960
  5. Step 5: Solve for x
    x = 10,734,957,397,319,960/47,982,014.63
  6. Step 6: Final answer
    x = 223,728,775.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.