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Finding the Third Proportional to 90,948 and 196,842

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Solution

The third proportional to 90,948 and 196,842 is: 426,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,948 : 196,842 = 196,842 : x
  2. Step 2: Convert to fraction form
    90,948/196,842 = 196,842/x
  3. Step 3: Cross multiply
    90,948x = 196,842 × 196,842
  4. Step 4: Simplify right side
    90,948x = 38,746,772,964
  5. Step 5: Solve for x
    x = 38,746,772,964/90,948
  6. Step 6: Final answer
    x = 426,032.16

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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.