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Finding the Third Proportional to 45,308 and 93,802

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Solution

The third proportional to 45,308 and 93,802 is: 194,200.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,308 : 93,802 = 93,802 : x
  2. Step 2: Convert to fraction form
    45,308/93,802 = 93,802/x
  3. Step 3: Cross multiply
    45,308x = 93,802 × 93,802
  4. Step 4: Simplify right side
    45,308x = 8,798,815,204
  5. Step 5: Solve for x
    x = 8,798,815,204/45,308
  6. Step 6: Final answer
    x = 194,200.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.