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Finding the Third Proportional to 62,075,922 and 146,330,223

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Solution

The third proportional to 62,075,922 and 146,330,223 is: 344,941,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,075,922 : 146,330,223 = 146,330,223 : x
  2. Step 2: Convert to fraction form
    62,075,922/146,330,223 = 146,330,223/x
  3. Step 3: Cross multiply
    62,075,922x = 146,330,223 × 146,330,223
  4. Step 4: Simplify right side
    62,075,922x = 21,412,534,163,229,728
  5. Step 5: Solve for x
    x = 21,412,534,163,229,728/62,075,922
  6. Step 6: Final answer
    x = 344,941,057.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.