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Finding the Third Proportional to 91,068 and 197,688

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Solution

The third proportional to 91,068 and 197,688 is: 429,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,068 : 197,688 = 197,688 : x
  2. Step 2: Convert to fraction form
    91,068/197,688 = 197,688/x
  3. Step 3: Cross multiply
    91,068x = 197,688 × 197,688
  4. Step 4: Simplify right side
    91,068x = 39,080,545,344
  5. Step 5: Solve for x
    x = 39,080,545,344/91,068
  6. Step 6: Final answer
    x = 429,135.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.