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Finding the Third Proportional to 46,281,860 and 96,394,424

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Solution

The third proportional to 46,281,860 and 96,394,424 is: 200,767,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,281,860 : 96,394,424 = 96,394,424 : x
  2. Step 2: Convert to fraction form
    46,281,860/96,394,424 = 96,394,424/x
  3. Step 3: Cross multiply
    46,281,860x = 96,394,424 × 96,394,424
  4. Step 4: Simplify right side
    46,281,860x = 9,291,884,978,291,776
  5. Step 5: Solve for x
    x = 9,291,884,978,291,776/46,281,860
  6. Step 6: Final answer
    x = 200,767,319.60

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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.