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Finding the Third Proportional to 90,189,542 and 193,133,660

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Solution

The third proportional to 90,189,542 and 193,133,660 is: 413,580,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,189,542 : 193,133,660 = 193,133,660 : x
  2. Step 2: Convert to fraction form
    90,189,542/193,133,660 = 193,133,660/x
  3. Step 3: Cross multiply
    90,189,542x = 193,133,660 × 193,133,660
  4. Step 4: Simplify right side
    90,189,542x = 37,300,610,624,995,600
  5. Step 5: Solve for x
    x = 37,300,610,624,995,600/90,189,542
  6. Step 6: Final answer
    x = 413,580,220.03

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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.