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Finding the Third Proportional to 46,281,806 and 96,394,330

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Solution

The third proportional to 46,281,806 and 96,394,330 is: 200,767,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,281,806 : 96,394,330 = 96,394,330 : x
  2. Step 2: Convert to fraction form
    46,281,806/96,394,330 = 96,394,330/x
  3. Step 3: Cross multiply
    46,281,806x = 96,394,330 × 96,394,330
  4. Step 4: Simplify right side
    46,281,806x = 9,291,866,856,148,900
  5. Step 5: Solve for x
    x = 9,291,866,856,148,900/46,281,806
  6. Step 6: Final answer
    x = 200,767,162.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.