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Finding the Third Proportional to 91,818 and 197,638

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Solution

The third proportional to 91,818 and 197,638 is: 425,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,818 : 197,638 = 197,638 : x
  2. Step 2: Convert to fraction form
    91,818/197,638 = 197,638/x
  3. Step 3: Cross multiply
    91,818x = 197,638 × 197,638
  4. Step 4: Simplify right side
    91,818x = 39,060,779,044
  5. Step 5: Solve for x
    x = 39,060,779,044/91,818
  6. Step 6: Final answer
    x = 425,415.27

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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.