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Finding the Third Proportional to 96,194.25 and 210,478.50

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Solution

The third proportional to 96,194.25 and 210,478.50 is: 460,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,194.25 : 210,478.50 = 210,478.50 : x
  2. Step 2: Convert to fraction form
    96,194.25/210,478.50 = 210,478.50/x
  3. Step 3: Cross multiply
    96,194.25x = 210,478.50 × 210,478.50
  4. Step 4: Simplify right side
    96,194.25x = 44,301,198,962.25
  5. Step 5: Solve for x
    x = 44,301,198,962.25/96,194.25
  6. Step 6: Final answer
    x = 460,538.95

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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.