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Finding the Third Proportional to 89,695.50 and 190,324.50

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Solution

The third proportional to 89,695.50 and 190,324.50 is: 403,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,695.50 : 190,324.50 = 190,324.50 : x
  2. Step 2: Convert to fraction form
    89,695.50/190,324.50 = 190,324.50/x
  3. Step 3: Cross multiply
    89,695.50x = 190,324.50 × 190,324.50
  4. Step 4: Simplify right side
    89,695.50x = 36,223,415,300.25
  5. Step 5: Solve for x
    x = 36,223,415,300.25/89,695.50
  6. Step 6: Final answer
    x = 403,848.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.