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Finding the Third Proportional to 82,282,768 and 176,948,816

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Solution

The third proportional to 82,282,768 and 176,948,816 is: 380,527,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,282,768 : 176,948,816 = 176,948,816 : x
  2. Step 2: Convert to fraction form
    82,282,768/176,948,816 = 176,948,816/x
  3. Step 3: Cross multiply
    82,282,768x = 176,948,816 × 176,948,816
  4. Step 4: Simplify right side
    82,282,768x = 31,310,883,483,801,856
  5. Step 5: Solve for x
    x = 31,310,883,483,801,856/82,282,768
  6. Step 6: Final answer
    x = 380,527,834.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.