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Finding the Third Proportional to 175,673,082 and 381,587,664

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Solution

The third proportional to 175,673,082 and 381,587,664 is: 828,864,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,673,082 : 381,587,664 = 381,587,664 : x
  2. Step 2: Convert to fraction form
    175,673,082/381,587,664 = 381,587,664/x
  3. Step 3: Cross multiply
    175,673,082x = 381,587,664 × 381,587,664
  4. Step 4: Simplify right side
    175,673,082x = 145,609,145,316,976,896
  5. Step 5: Solve for x
    x = 145,609,145,316,976,896/175,673,082
  6. Step 6: Final answer
    x = 828,864,295.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.