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Finding the Third Proportional to 103,096.13 and 219,223.13

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Solution

The third proportional to 103,096.13 and 219,223.13 is: 466,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,096.13 : 219,223.13 = 219,223.13 : x
  2. Step 2: Convert to fraction form
    103,096.13/219,223.13 = 219,223.13/x
  3. Step 3: Cross multiply
    103,096.13x = 219,223.13 × 219,223.13
  4. Step 4: Simplify right side
    103,096.13x = 48,058,778,534.77
  5. Step 5: Solve for x
    x = 48,058,778,534.77/103,096.13
  6. Step 6: Final answer
    x = 466,155.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.