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Finding the Third Proportional to 82,098 and 176,860.50

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Solution

The third proportional to 82,098 and 176,860.50 is: 381,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,098 : 176,860.50 = 176,860.50 : x
  2. Step 2: Convert to fraction form
    82,098/176,860.50 = 176,860.50/x
  3. Step 3: Cross multiply
    82,098x = 176,860.50 × 176,860.50
  4. Step 4: Simplify right side
    82,098x = 31,279,636,460.25
  5. Step 5: Solve for x
    x = 31,279,636,460.25/82,098
  6. Step 6: Final answer
    x = 381,003.64

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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.