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Finding the Third Proportional to 45,368 and 90,918

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Solution

The third proportional to 45,368 and 90,918 is: 182,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,368 : 90,918 = 90,918 : x
  2. Step 2: Convert to fraction form
    45,368/90,918 = 90,918/x
  3. Step 3: Cross multiply
    45,368x = 90,918 × 90,918
  4. Step 4: Simplify right side
    45,368x = 8,266,082,724
  5. Step 5: Solve for x
    x = 8,266,082,724/45,368
  6. Step 6: Final answer
    x = 182,200.73

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.