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Finding the Third Proportional to 82,339,202 and 176,010,052

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Solution

The third proportional to 82,339,202 and 176,010,052 is: 376,242,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,339,202 : 176,010,052 = 176,010,052 : x
  2. Step 2: Convert to fraction form
    82,339,202/176,010,052 = 176,010,052/x
  3. Step 3: Cross multiply
    82,339,202x = 176,010,052 × 176,010,052
  4. Step 4: Simplify right side
    82,339,202x = 30,979,538,405,042,704
  5. Step 5: Solve for x
    x = 30,979,538,405,042,704/82,339,202
  6. Step 6: Final answer
    x = 376,242,878.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.