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Finding the Third Proportional to 45,329.63 and 98,455.50

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Solution

The third proportional to 45,329.63 and 98,455.50 is: 213,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,329.63 : 98,455.50 = 98,455.50 : x
  2. Step 2: Convert to fraction form
    45,329.63/98,455.50 = 98,455.50/x
  3. Step 3: Cross multiply
    45,329.63x = 98,455.50 × 98,455.50
  4. Step 4: Simplify right side
    45,329.63x = 9,693,485,480.25
  5. Step 5: Solve for x
    x = 9,693,485,480.25/45,329.63
  6. Step 6: Final answer
    x = 213,844.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.