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Finding the Third Proportional to 70,990,143.75 and 109,049,584.50

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Solution

The third proportional to 70,990,143.75 and 109,049,584.50 is: 167,513,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,990,143.75 : 109,049,584.50 = 109,049,584.50 : x
  2. Step 2: Convert to fraction form
    70,990,143.75/109,049,584.50 = 109,049,584.50/x
  3. Step 3: Cross multiply
    70,990,143.75x = 109,049,584.50 × 109,049,584.50
  4. Step 4: Simplify right side
    70,990,143.75x = 11,891,811,879,622,640
  5. Step 5: Solve for x
    x = 11,891,811,879,622,640/70,990,143.75
  6. Step 6: Final answer
    x = 167,513,562.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.