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Finding the Third Proportional to 46,281,809 and 96,394,336

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Solution

The third proportional to 46,281,809 and 96,394,336 is: 200,767,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,281,809 : 96,394,336 = 96,394,336 : x
  2. Step 2: Convert to fraction form
    46,281,809/96,394,336 = 96,394,336/x
  3. Step 3: Cross multiply
    46,281,809x = 96,394,336 × 96,394,336
  4. Step 4: Simplify right side
    46,281,809x = 9,291,868,012,880,896
  5. Step 5: Solve for x
    x = 9,291,868,012,880,896/46,281,809
  6. Step 6: Final answer
    x = 200,767,174.27

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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.