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Finding the Third Proportional to 99,810.75 and 216,232.50

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Solution

The third proportional to 99,810.75 and 216,232.50 is: 468,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,810.75 : 216,232.50 = 216,232.50 : x
  2. Step 2: Convert to fraction form
    99,810.75/216,232.50 = 216,232.50/x
  3. Step 3: Cross multiply
    99,810.75x = 216,232.50 × 216,232.50
  4. Step 4: Simplify right side
    99,810.75x = 46,756,494,056.25
  5. Step 5: Solve for x
    x = 46,756,494,056.25/99,810.75
  6. Step 6: Final answer
    x = 468,451.48

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