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Finding the Third Proportional to 45,496.69 and 97,579.69

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Solution

The third proportional to 45,496.69 and 97,579.69 is: 209,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,496.69 : 97,579.69 = 97,579.69 : x
  2. Step 2: Convert to fraction form
    45,496.69/97,579.69 = 97,579.69/x
  3. Step 3: Cross multiply
    45,496.69x = 97,579.69 × 97,579.69
  4. Step 4: Simplify right side
    45,496.69x = 9,521,795,412.60
  5. Step 5: Solve for x
    x = 9,521,795,412.60/45,496.69
  6. Step 6: Final answer
    x = 209,285.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.