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Finding the Third Proportional to 88,942 and 194,300

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Solution

The third proportional to 88,942 and 194,300 is: 424,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,942 : 194,300 = 194,300 : x
  2. Step 2: Convert to fraction form
    88,942/194,300 = 194,300/x
  3. Step 3: Cross multiply
    88,942x = 194,300 × 194,300
  4. Step 4: Simplify right side
    88,942x = 37,752,490,000
  5. Step 5: Solve for x
    x = 37,752,490,000/88,942
  6. Step 6: Final answer
    x = 424,461.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.