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Finding the Third Proportional to 99,235.13 and 234,221.63

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Solution

The third proportional to 99,235.13 and 234,221.63 is: 552,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,235.13 : 234,221.63 = 234,221.63 : x
  2. Step 2: Convert to fraction form
    99,235.13/234,221.63 = 234,221.63/x
  3. Step 3: Cross multiply
    99,235.13x = 234,221.63 × 234,221.63
  4. Step 4: Simplify right side
    99,235.13x = 54,859,769,617.64
  5. Step 5: Solve for x
    x = 54,859,769,617.64/99,235.13
  6. Step 6: Final answer
    x = 552,826.13

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.