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Finding the Third Proportional to 34,230,028.50 and 75,178,521

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Solution

The third proportional to 34,230,028.50 and 75,178,521 is: 165,112,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,230,028.50 : 75,178,521 = 75,178,521 : x
  2. Step 2: Convert to fraction form
    34,230,028.50/75,178,521 = 75,178,521/x
  3. Step 3: Cross multiply
    34,230,028.50x = 75,178,521 × 75,178,521
  4. Step 4: Simplify right side
    34,230,028.50x = 5,651,810,019,747,441
  5. Step 5: Solve for x
    x = 5,651,810,019,747,441/34,230,028.50
  6. Step 6: Final answer
    x = 165,112,629.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.