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Finding the Third Proportional to 46,289,684 and 100,808,536

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Solution

The third proportional to 46,289,684 and 100,808,536 is: 219,538,351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,289,684 : 100,808,536 = 100,808,536 : x
  2. Step 2: Convert to fraction form
    46,289,684/100,808,536 = 100,808,536/x
  3. Step 3: Cross multiply
    46,289,684x = 100,808,536 × 100,808,536
  4. Step 4: Simplify right side
    46,289,684x = 10,162,360,930,463,296
  5. Step 5: Solve for x
    x = 10,162,360,930,463,296/46,289,684
  6. Step 6: Final answer
    x = 219,538,351.79

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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.