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Finding the Third Proportional to 98,056 and 211,664

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Solution

The third proportional to 98,056 and 211,664 is: 456,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,056 : 211,664 = 211,664 : x
  2. Step 2: Convert to fraction form
    98,056/211,664 = 211,664/x
  3. Step 3: Cross multiply
    98,056x = 211,664 × 211,664
  4. Step 4: Simplify right side
    98,056x = 44,801,648,896
  5. Step 5: Solve for x
    x = 44,801,648,896/98,056
  6. Step 6: Final answer
    x = 456,898.60

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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.