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Finding the Third Proportional to 99,734.50 and 213,482

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Solution

The third proportional to 99,734.50 and 213,482 is: 456,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,734.50 : 213,482 = 213,482 : x
  2. Step 2: Convert to fraction form
    99,734.50/213,482 = 213,482/x
  3. Step 3: Cross multiply
    99,734.50x = 213,482 × 213,482
  4. Step 4: Simplify right side
    99,734.50x = 45,574,564,324
  5. Step 5: Solve for x
    x = 45,574,564,324/99,734.50
  6. Step 6: Final answer
    x = 456,958.87

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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.