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Finding the Third Proportional to 96,894 and 208,572

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Solution

The third proportional to 96,894 and 208,572 is: 448,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,894 : 208,572 = 208,572 : x
  2. Step 2: Convert to fraction form
    96,894/208,572 = 208,572/x
  3. Step 3: Cross multiply
    96,894x = 208,572 × 208,572
  4. Step 4: Simplify right side
    96,894x = 43,502,279,184
  5. Step 5: Solve for x
    x = 43,502,279,184/96,894
  6. Step 6: Final answer
    x = 448,967.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.