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Finding the Third Proportional to 46,289,686 and 100,808,540

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Solution

The third proportional to 46,289,686 and 100,808,540 is: 219,538,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,289,686 : 100,808,540 = 100,808,540 : x
  2. Step 2: Convert to fraction form
    46,289,686/100,808,540 = 100,808,540/x
  3. Step 3: Cross multiply
    46,289,686x = 100,808,540 × 100,808,540
  4. Step 4: Simplify right side
    46,289,686x = 10,162,361,736,931,600
  5. Step 5: Solve for x
    x = 10,162,361,736,931,600/46,289,686
  6. Step 6: Final answer
    x = 219,538,359.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.