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Finding the Third Proportional to 46,704.47 and 70,103.69

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Solution

The third proportional to 46,704.47 and 70,103.69 is: 105,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,704.47 : 70,103.69 = 70,103.69 : x
  2. Step 2: Convert to fraction form
    46,704.47/70,103.69 = 70,103.69/x
  3. Step 3: Cross multiply
    46,704.47x = 70,103.69 × 70,103.69
  4. Step 4: Simplify right side
    46,704.47x = 4,914,527,001.10
  5. Step 5: Solve for x
    x = 4,914,527,001.10/46,704.47
  6. Step 6: Final answer
    x = 105,226.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.