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Finding the Third Proportional to 99,285.75 and 212,787

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Solution

The third proportional to 99,285.75 and 212,787 is: 456,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,285.75 : 212,787 = 212,787 : x
  2. Step 2: Convert to fraction form
    99,285.75/212,787 = 212,787/x
  3. Step 3: Cross multiply
    99,285.75x = 212,787 × 212,787
  4. Step 4: Simplify right side
    99,285.75x = 45,278,307,369
  5. Step 5: Solve for x
    x = 45,278,307,369/99,285.75
  6. Step 6: Final answer
    x = 456,040.34

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Why These Related Problems?

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