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Finding the Third Proportional to 99,774.75 and 216,157.50

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Solution

The third proportional to 99,774.75 and 216,157.50 is: 468,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,774.75 : 216,157.50 = 216,157.50 : x
  2. Step 2: Convert to fraction form
    99,774.75/216,157.50 = 216,157.50/x
  3. Step 3: Cross multiply
    99,774.75x = 216,157.50 × 216,157.50
  4. Step 4: Simplify right side
    99,774.75x = 46,724,064,806.25
  5. Step 5: Solve for x
    x = 46,724,064,806.25/99,774.75
  6. Step 6: Final answer
    x = 468,295.48

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Why These Related Problems?

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