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Finding the Third Proportional to 98,054 and 207,664

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Solution

The third proportional to 98,054 and 207,664 is: 439,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,054 : 207,664 = 207,664 : x
  2. Step 2: Convert to fraction form
    98,054/207,664 = 207,664/x
  3. Step 3: Cross multiply
    98,054x = 207,664 × 207,664
  4. Step 4: Simplify right side
    98,054x = 43,124,336,896
  5. Step 5: Solve for x
    x = 43,124,336,896/98,054
  6. Step 6: Final answer
    x = 439,801.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.