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Finding the Third Proportional to 117,477.84 and 189,156.52

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Solution

The third proportional to 117,477.84 and 189,156.52 is: 304,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,477.84 : 189,156.52 = 189,156.52 : x
  2. Step 2: Convert to fraction form
    117,477.84/189,156.52 = 189,156.52/x
  3. Step 3: Cross multiply
    117,477.84x = 189,156.52 × 189,156.52
  4. Step 4: Simplify right side
    117,477.84x = 35,780,187,403.39
  5. Step 5: Solve for x
    x = 35,780,187,403.39/117,477.84
  6. Step 6: Final answer
    x = 304,569.66

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.