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Finding the Third Proportional to 164,036,448 and 349,275,456

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Solution

The third proportional to 164,036,448 and 349,275,456 is: 743,696,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,036,448 : 349,275,456 = 349,275,456 : x
  2. Step 2: Convert to fraction form
    164,036,448/349,275,456 = 349,275,456/x
  3. Step 3: Cross multiply
    164,036,448x = 349,275,456 × 349,275,456
  4. Step 4: Simplify right side
    164,036,448x = 121,993,344,164,007,936
  5. Step 5: Solve for x
    x = 121,993,344,164,007,936/164,036,448
  6. Step 6: Final answer
    x = 743,696,572.63

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.