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Finding the Third Proportional to 90,798 and 193,948

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Solution

The third proportional to 90,798 and 193,948 is: 414,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,798 : 193,948 = 193,948 : x
  2. Step 2: Convert to fraction form
    90,798/193,948 = 193,948/x
  3. Step 3: Cross multiply
    90,798x = 193,948 × 193,948
  4. Step 4: Simplify right side
    90,798x = 37,615,826,704
  5. Step 5: Solve for x
    x = 37,615,826,704/90,798
  6. Step 6: Final answer
    x = 414,280.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.