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Finding the Third Proportional to 152,132,355 and 227,302,982.25

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Solution

The third proportional to 152,132,355 and 227,302,982.25 is: 339,616,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,132,355 : 227,302,982.25 = 227,302,982.25 : x
  2. Step 2: Convert to fraction form
    152,132,355/227,302,982.25 = 227,302,982.25/x
  3. Step 3: Cross multiply
    152,132,355x = 227,302,982.25 × 227,302,982.25
  4. Step 4: Simplify right side
    152,132,355x = 51,666,645,739,743,816
  5. Step 5: Solve for x
    x = 51,666,645,739,743,816/152,132,355
  6. Step 6: Final answer
    x = 339,616,419.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.