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Finding the Third Proportional to 98,957 and 201,370

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Solution

The third proportional to 98,957 and 201,370 is: 409,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,957 : 201,370 = 201,370 : x
  2. Step 2: Convert to fraction form
    98,957/201,370 = 201,370/x
  3. Step 3: Cross multiply
    98,957x = 201,370 × 201,370
  4. Step 4: Simplify right side
    98,957x = 40,549,876,900
  5. Step 5: Solve for x
    x = 40,549,876,900/98,957
  6. Step 6: Final answer
    x = 409,772.70

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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.