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Finding the Third Proportional to 77,682,564 and 169,994,268

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Solution

The third proportional to 77,682,564 and 169,994,268 is: 372,001,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,682,564 : 169,994,268 = 169,994,268 : x
  2. Step 2: Convert to fraction form
    77,682,564/169,994,268 = 169,994,268/x
  3. Step 3: Cross multiply
    77,682,564x = 169,994,268 × 169,994,268
  4. Step 4: Simplify right side
    77,682,564x = 28,898,051,152,855,824
  5. Step 5: Solve for x
    x = 28,898,051,152,855,824/77,682,564
  6. Step 6: Final answer
    x = 372,001,768.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.