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Finding the Third Proportional to 99,911 and 215,815.50

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Solution

The third proportional to 99,911 and 215,815.50 is: 466,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,911 : 215,815.50 = 215,815.50 : x
  2. Step 2: Convert to fraction form
    99,911/215,815.50 = 215,815.50/x
  3. Step 3: Cross multiply
    99,911x = 215,815.50 × 215,815.50
  4. Step 4: Simplify right side
    99,911x = 46,576,330,040.25
  5. Step 5: Solve for x
    x = 46,576,330,040.25/99,911
  6. Step 6: Final answer
    x = 466,178.20

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