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Finding the Third Proportional to 45,228.38 and 97,878.38

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Solution

The third proportional to 45,228.38 and 97,878.38 is: 211,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,228.38 : 97,878.38 = 97,878.38 : x
  2. Step 2: Convert to fraction form
    45,228.38/97,878.38 = 97,878.38/x
  3. Step 3: Cross multiply
    45,228.38x = 97,878.38 × 97,878.38
  4. Step 4: Simplify right side
    45,228.38x = 9,580,176,292.64
  5. Step 5: Solve for x
    x = 9,580,176,292.64/45,228.38
  6. Step 6: Final answer
    x = 211,817.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.