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Finding the Third Proportional to 98,461.25 and 210,933

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Solution

The third proportional to 98,461.25 and 210,933 is: 451,880.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,461.25 : 210,933 = 210,933 : x
  2. Step 2: Convert to fraction form
    98,461.25/210,933 = 210,933/x
  3. Step 3: Cross multiply
    98,461.25x = 210,933 × 210,933
  4. Step 4: Simplify right side
    98,461.25x = 44,492,730,489
  5. Step 5: Solve for x
    x = 44,492,730,489/98,461.25
  6. Step 6: Final answer
    x = 451,880.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.