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Finding the Third Proportional to 98,406 and 215,725.50

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Solution

The third proportional to 98,406 and 215,725.50 is: 472,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,406 : 215,725.50 = 215,725.50 : x
  2. Step 2: Convert to fraction form
    98,406/215,725.50 = 215,725.50/x
  3. Step 3: Cross multiply
    98,406x = 215,725.50 × 215,725.50
  4. Step 4: Simplify right side
    98,406x = 46,537,491,350.25
  5. Step 5: Solve for x
    x = 46,537,491,350.25/98,406
  6. Step 6: Final answer
    x = 472,913.15

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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.