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Finding the Third Proportional to 45,793 and 99,362

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Solution

The third proportional to 45,793 and 99,362 is: 215,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,793 : 99,362 = 99,362 : x
  2. Step 2: Convert to fraction form
    45,793/99,362 = 99,362/x
  3. Step 3: Cross multiply
    45,793x = 99,362 × 99,362
  4. Step 4: Simplify right side
    45,793x = 9,872,807,044
  5. Step 5: Solve for x
    x = 9,872,807,044/45,793
  6. Step 6: Final answer
    x = 215,596.42

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