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Finding the Third Proportional to 45,005.50 and 98,483

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Solution

The third proportional to 45,005.50 and 98,483 is: 215,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,005.50 : 98,483 = 98,483 : x
  2. Step 2: Convert to fraction form
    45,005.50/98,483 = 98,483/x
  3. Step 3: Cross multiply
    45,005.50x = 98,483 × 98,483
  4. Step 4: Simplify right side
    45,005.50x = 9,698,901,289
  5. Step 5: Solve for x
    x = 9,698,901,289/45,005.50
  6. Step 6: Final answer
    x = 215,504.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.