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Finding the Third Proportional to 90,189,563 and 193,133,694

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Solution

The third proportional to 90,189,563 and 193,133,694 is: 413,580,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,189,563 : 193,133,694 = 193,133,694 : x
  2. Step 2: Convert to fraction form
    90,189,563/193,133,694 = 193,133,694/x
  3. Step 3: Cross multiply
    90,189,563x = 193,133,694 × 193,133,694
  4. Step 4: Simplify right side
    90,189,563x = 37,300,623,758,085,632
  5. Step 5: Solve for x
    x = 37,300,623,758,085,632/90,189,563
  6. Step 6: Final answer
    x = 413,580,269.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.