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Finding the Third Proportional to 82,222,958 and 182,829,668

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Solution

The third proportional to 82,222,958 and 182,829,668 is: 406,537,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,222,958 : 182,829,668 = 182,829,668 : x
  2. Step 2: Convert to fraction form
    82,222,958/182,829,668 = 182,829,668/x
  3. Step 3: Cross multiply
    82,222,958x = 182,829,668 × 182,829,668
  4. Step 4: Simplify right side
    82,222,958x = 33,426,687,500,990,224
  5. Step 5: Solve for x
    x = 33,426,687,500,990,224/82,222,958
  6. Step 6: Final answer
    x = 406,537,155.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.