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Finding the Third Proportional to 98,966 and 207,653

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Solution

The third proportional to 98,966 and 207,653 is: 435,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,966 : 207,653 = 207,653 : x
  2. Step 2: Convert to fraction form
    98,966/207,653 = 207,653/x
  3. Step 3: Cross multiply
    98,966x = 207,653 × 207,653
  4. Step 4: Simplify right side
    98,966x = 43,119,768,409
  5. Step 5: Solve for x
    x = 43,119,768,409/98,966
  6. Step 6: Final answer
    x = 435,702.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.