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Finding the Third Proportional to 175,673,084 and 381,587,668

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Solution

The third proportional to 175,673,084 and 381,587,668 is: 828,864,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,673,084 : 381,587,668 = 381,587,668 : x
  2. Step 2: Convert to fraction form
    175,673,084/381,587,668 = 381,587,668/x
  3. Step 3: Cross multiply
    175,673,084x = 381,587,668 × 381,587,668
  4. Step 4: Simplify right side
    175,673,084x = 145,609,148,369,678,208
  5. Step 5: Solve for x
    x = 145,609,148,369,678,208/175,673,084
  6. Step 6: Final answer
    x = 828,864,303.25

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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.