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Finding the Third Proportional to 98,697 and 201,058

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Solution

The third proportional to 98,697 and 201,058 is: 409,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,697 : 201,058 = 201,058 : x
  2. Step 2: Convert to fraction form
    98,697/201,058 = 201,058/x
  3. Step 3: Cross multiply
    98,697x = 201,058 × 201,058
  4. Step 4: Simplify right side
    98,697x = 40,424,319,364
  5. Step 5: Solve for x
    x = 40,424,319,364/98,697
  6. Step 6: Final answer
    x = 409,580.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.