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Finding the Third Proportional to 84,618 and 176,212.13

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Solution

The third proportional to 84,618 and 176,212.13 is: 366,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,618 : 176,212.13 = 176,212.13 : x
  2. Step 2: Convert to fraction form
    84,618/176,212.13 = 176,212.13/x
  3. Step 3: Cross multiply
    84,618x = 176,212.13 × 176,212.13
  4. Step 4: Simplify right side
    84,618x = 31,050,712,997.02
  5. Step 5: Solve for x
    x = 31,050,712,997.02/84,618
  6. Step 6: Final answer
    x = 366,951.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.