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Finding the Third Proportional to 101,980.50 and 216,117

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Solution

The third proportional to 101,980.50 and 216,117 is: 457,994.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,980.50 : 216,117 = 216,117 : x
  2. Step 2: Convert to fraction form
    101,980.50/216,117 = 216,117/x
  3. Step 3: Cross multiply
    101,980.50x = 216,117 × 216,117
  4. Step 4: Simplify right side
    101,980.50x = 46,706,557,689
  5. Step 5: Solve for x
    x = 46,706,557,689/101,980.50
  6. Step 6: Final answer
    x = 457,994.99

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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.