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Finding the Third Proportional to 98,869 and 213,289

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Solution

The third proportional to 98,869 and 213,289 is: 460,126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,869 : 213,289 = 213,289 : x
  2. Step 2: Convert to fraction form
    98,869/213,289 = 213,289/x
  3. Step 3: Cross multiply
    98,869x = 213,289 × 213,289
  4. Step 4: Simplify right side
    98,869x = 45,492,197,521
  5. Step 5: Solve for x
    x = 45,492,197,521/98,869
  6. Step 6: Final answer
    x = 460,126.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.