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Finding the Third Proportional to 98,957.50 and 201,371

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Solution

The third proportional to 98,957.50 and 201,371 is: 409,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,957.50 : 201,371 = 201,371 : x
  2. Step 2: Convert to fraction form
    98,957.50/201,371 = 201,371/x
  3. Step 3: Cross multiply
    98,957.50x = 201,371 × 201,371
  4. Step 4: Simplify right side
    98,957.50x = 40,550,279,641
  5. Step 5: Solve for x
    x = 40,550,279,641/98,957.50
  6. Step 6: Final answer
    x = 409,774.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.