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Finding the Third Proportional to 140,394,402 and 313,051,716

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Solution

The third proportional to 140,394,402 and 313,051,716 is: 698,043,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,394,402 : 313,051,716 = 313,051,716 : x
  2. Step 2: Convert to fraction form
    140,394,402/313,051,716 = 313,051,716/x
  3. Step 3: Cross multiply
    140,394,402x = 313,051,716 × 313,051,716
  4. Step 4: Simplify right side
    140,394,402x = 98,001,376,890,544,656
  5. Step 5: Solve for x
    x = 98,001,376,890,544,656/140,394,402
  6. Step 6: Final answer
    x = 698,043,337.16

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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.