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Finding the Third Proportional to 88,948 and 194,312

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Solution

The third proportional to 88,948 and 194,312 is: 424,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,948 : 194,312 = 194,312 : x
  2. Step 2: Convert to fraction form
    88,948/194,312 = 194,312/x
  3. Step 3: Cross multiply
    88,948x = 194,312 × 194,312
  4. Step 4: Simplify right side
    88,948x = 37,757,153,344
  5. Step 5: Solve for x
    x = 37,757,153,344/88,948
  6. Step 6: Final answer
    x = 424,485.69

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Why These Related Problems?

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