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Finding the Third Proportional to 82,282,878 and 176,949,012

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Solution

The third proportional to 82,282,878 and 176,949,012 is: 380,528,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,282,878 : 176,949,012 = 176,949,012 : x
  2. Step 2: Convert to fraction form
    82,282,878/176,949,012 = 176,949,012/x
  3. Step 3: Cross multiply
    82,282,878x = 176,949,012 × 176,949,012
  4. Step 4: Simplify right side
    82,282,878x = 31,310,952,847,776,144
  5. Step 5: Solve for x
    x = 31,310,952,847,776,144/82,282,878
  6. Step 6: Final answer
    x = 380,528,168.30

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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.