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Finding the Third Proportional to 82,339,200 and 176,010,048

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Solution

The third proportional to 82,339,200 and 176,010,048 is: 376,242,870.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,339,200 : 176,010,048 = 176,010,048 : x
  2. Step 2: Convert to fraction form
    82,339,200/176,010,048 = 176,010,048/x
  3. Step 3: Cross multiply
    82,339,200x = 176,010,048 × 176,010,048
  4. Step 4: Simplify right side
    82,339,200x = 30,979,536,996,962,304
  5. Step 5: Solve for x
    x = 30,979,536,996,962,304/82,339,200
  6. Step 6: Final answer
    x = 376,242,870.92

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