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Finding the Third Proportional to 46,354.78 and 99,270.56

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Solution

The third proportional to 46,354.78 and 99,270.56 is: 212,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,354.78 : 99,270.56 = 99,270.56 : x
  2. Step 2: Convert to fraction form
    46,354.78/99,270.56 = 99,270.56/x
  3. Step 3: Cross multiply
    46,354.78x = 99,270.56 × 99,270.56
  4. Step 4: Simplify right side
    46,354.78x = 9,854,644,579.07
  5. Step 5: Solve for x
    x = 9,854,644,579.07/46,354.78
  6. Step 6: Final answer
    x = 212,591.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.