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Finding the Third Proportional to 98,946 and 201,348

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Solution

The third proportional to 98,946 and 201,348 is: 409,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,946 : 201,348 = 201,348 : x
  2. Step 2: Convert to fraction form
    98,946/201,348 = 201,348/x
  3. Step 3: Cross multiply
    98,946x = 201,348 × 201,348
  4. Step 4: Simplify right side
    98,946x = 40,541,017,104
  5. Step 5: Solve for x
    x = 40,541,017,104/98,946
  6. Step 6: Final answer
    x = 409,728.71

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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.