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Finding the Third Proportional to 46,281,810 and 96,394,338

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Solution

The third proportional to 46,281,810 and 96,394,338 is: 200,767,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,281,810 : 96,394,338 = 96,394,338 : x
  2. Step 2: Convert to fraction form
    46,281,810/96,394,338 = 96,394,338/x
  3. Step 3: Cross multiply
    46,281,810x = 96,394,338 × 96,394,338
  4. Step 4: Simplify right side
    46,281,810x = 9,291,868,398,458,244
  5. Step 5: Solve for x
    x = 9,291,868,398,458,244/46,281,810
  6. Step 6: Final answer
    x = 200,767,178.26

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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.