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Finding the Third Proportional to 99,434.25 and 216,158.63

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Solution

The third proportional to 99,434.25 and 216,158.63 is: 469,903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,434.25 : 216,158.63 = 216,158.63 : x
  2. Step 2: Convert to fraction form
    99,434.25/216,158.63 = 216,158.63/x
  3. Step 3: Cross multiply
    99,434.25x = 216,158.63 × 216,158.63
  4. Step 4: Simplify right side
    99,434.25x = 46,724,551,161.89
  5. Step 5: Solve for x
    x = 46,724,551,161.89/99,434.25
  6. Step 6: Final answer
    x = 469,903.99

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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.