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Finding the Third Proportional to 94,791 and 219,445

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Solution

The third proportional to 94,791 and 219,445 is: 508,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,791 : 219,445 = 219,445 : x
  2. Step 2: Convert to fraction form
    94,791/219,445 = 219,445/x
  3. Step 3: Cross multiply
    94,791x = 219,445 × 219,445
  4. Step 4: Simplify right side
    94,791x = 48,156,108,025
  5. Step 5: Solve for x
    x = 48,156,108,025/94,791
  6. Step 6: Final answer
    x = 508,024.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.