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Finding the Third Proportional to 96,178 and 209,292

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Solution

The third proportional to 96,178 and 209,292 is: 455,438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,178 : 209,292 = 209,292 : x
  2. Step 2: Convert to fraction form
    96,178/209,292 = 209,292/x
  3. Step 3: Cross multiply
    96,178x = 209,292 × 209,292
  4. Step 4: Simplify right side
    96,178x = 43,803,141,264
  5. Step 5: Solve for x
    x = 43,803,141,264/96,178
  6. Step 6: Final answer
    x = 455,438.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.