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Finding the Third Proportional to 99,560.81 and 214,968.94

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Solution

The third proportional to 99,560.81 and 214,968.94 is: 464,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,560.81 : 214,968.94 = 214,968.94 : x
  2. Step 2: Convert to fraction form
    99,560.81/214,968.94 = 214,968.94/x
  3. Step 3: Cross multiply
    99,560.81x = 214,968.94 × 214,968.94
  4. Step 4: Simplify right side
    99,560.81x = 46,211,644,089.88
  5. Step 5: Solve for x
    x = 46,211,644,089.88/99,560.81
  6. Step 6: Final answer
    x = 464,154.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.