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Finding the Third Proportional to 75,783,499.50 and 164,311,629

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Solution

The third proportional to 75,783,499.50 and 164,311,629 is: 356,255,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,783,499.50 : 164,311,629 = 164,311,629 : x
  2. Step 2: Convert to fraction form
    75,783,499.50/164,311,629 = 164,311,629/x
  3. Step 3: Cross multiply
    75,783,499.50x = 164,311,629 × 164,311,629
  4. Step 4: Simplify right side
    75,783,499.50x = 26,998,311,424,633,640
  5. Step 5: Solve for x
    x = 26,998,311,424,633,640/75,783,499.50
  6. Step 6: Final answer
    x = 356,255,802.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.