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Finding the Third Proportional to 82,380,498 and 177,518,928

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Solution

The third proportional to 82,380,498 and 177,518,928 is: 382,529,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,380,498 : 177,518,928 = 177,518,928 : x
  2. Step 2: Convert to fraction form
    82,380,498/177,518,928 = 177,518,928/x
  3. Step 3: Cross multiply
    82,380,498x = 177,518,928 × 177,518,928
  4. Step 4: Simplify right side
    82,380,498x = 31,512,969,798,269,184
  5. Step 5: Solve for x
    x = 31,512,969,798,269,184/82,380,498
  6. Step 6: Final answer
    x = 382,529,488.94

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