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Finding the Third Proportional to 75,622,240 and 164,932,544

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Solution

The third proportional to 75,622,240 and 164,932,544 is: 359,718,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,622,240 : 164,932,544 = 164,932,544 : x
  2. Step 2: Convert to fraction form
    75,622,240/164,932,544 = 164,932,544/x
  3. Step 3: Cross multiply
    75,622,240x = 164,932,544 × 164,932,544
  4. Step 4: Simplify right side
    75,622,240x = 27,202,744,070,311,936
  5. Step 5: Solve for x
    x = 27,202,744,070,311,936/75,622,240
  6. Step 6: Final answer
    x = 359,718,834.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.