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Finding the Third Proportional to 92,130 and 198,964

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Solution

The third proportional to 92,130 and 198,964 is: 429,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,130 : 198,964 = 198,964 : x
  2. Step 2: Convert to fraction form
    92,130/198,964 = 198,964/x
  3. Step 3: Cross multiply
    92,130x = 198,964 × 198,964
  4. Step 4: Simplify right side
    92,130x = 39,586,673,296
  5. Step 5: Solve for x
    x = 39,586,673,296/92,130
  6. Step 6: Final answer
    x = 429,682.77

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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.