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Finding the Third Proportional to 101,913.19 and 216,158.63

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Solution

The third proportional to 101,913.19 and 216,158.63 is: 458,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,913.19 : 216,158.63 = 216,158.63 : x
  2. Step 2: Convert to fraction form
    101,913.19/216,158.63 = 216,158.63/x
  3. Step 3: Cross multiply
    101,913.19x = 216,158.63 × 216,158.63
  4. Step 4: Simplify right side
    101,913.19x = 46,724,551,161.89
  5. Step 5: Solve for x
    x = 46,724,551,161.89/101,913.19
  6. Step 6: Final answer
    x = 458,474.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.