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Finding the Third Proportional to 99,804.75 and 216,562.50

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Solution

The third proportional to 99,804.75 and 216,562.50 is: 469,910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,804.75 : 216,562.50 = 216,562.50 : x
  2. Step 2: Convert to fraction form
    99,804.75/216,562.50 = 216,562.50/x
  3. Step 3: Cross multiply
    99,804.75x = 216,562.50 × 216,562.50
  4. Step 4: Simplify right side
    99,804.75x = 46,899,316,406.25
  5. Step 5: Solve for x
    x = 46,899,316,406.25/99,804.75
  6. Step 6: Final answer
    x = 469,910.66

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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.