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Finding the Third Proportional to 140,394,400 and 313,051,712

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Solution

The third proportional to 140,394,400 and 313,051,712 is: 698,043,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,394,400 : 313,051,712 = 313,051,712 : x
  2. Step 2: Convert to fraction form
    140,394,400/313,051,712 = 313,051,712/x
  3. Step 3: Cross multiply
    140,394,400x = 313,051,712 × 313,051,712
  4. Step 4: Simplify right side
    140,394,400x = 98,001,374,386,130,944
  5. Step 5: Solve for x
    x = 98,001,374,386,130,944/140,394,400
  6. Step 6: Final answer
    x = 698,043,329.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.