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Finding the Third Proportional to 92,888 and 196,816

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Solution

The third proportional to 92,888 and 196,816 is: 417,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,888 : 196,816 = 196,816 : x
  2. Step 2: Convert to fraction form
    92,888/196,816 = 196,816/x
  3. Step 3: Cross multiply
    92,888x = 196,816 × 196,816
  4. Step 4: Simplify right side
    92,888x = 38,736,537,856
  5. Step 5: Solve for x
    x = 38,736,537,856/92,888
  6. Step 6: Final answer
    x = 417,024.14

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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.