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Finding the Third Proportional to 68,994,117.75 and 140,015,638.50

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Solution

The third proportional to 68,994,117.75 and 140,015,638.50 is: 284,145,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,994,117.75 : 140,015,638.50 = 140,015,638.50 : x
  2. Step 2: Convert to fraction form
    68,994,117.75/140,015,638.50 = 140,015,638.50/x
  3. Step 3: Cross multiply
    68,994,117.75x = 140,015,638.50 × 140,015,638.50
  4. Step 4: Simplify right side
    68,994,117.75x = 19,604,379,024,562,684
  5. Step 5: Solve for x
    x = 19,604,379,024,562,684/68,994,117.75
  6. Step 6: Final answer
    x = 284,145,658.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.