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Finding the Third Proportional to 45,462.94 and 99,390.38

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Solution

The third proportional to 45,462.94 and 99,390.38 is: 217,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,462.94 : 99,390.38 = 99,390.38 : x
  2. Step 2: Convert to fraction form
    45,462.94/99,390.38 = 99,390.38/x
  3. Step 3: Cross multiply
    45,462.94x = 99,390.38 × 99,390.38
  4. Step 4: Simplify right side
    45,462.94x = 9,878,446,642.64
  5. Step 5: Solve for x
    x = 9,878,446,642.64/45,462.94
  6. Step 6: Final answer
    x = 217,285.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.