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Finding the Third Proportional to 99,024 and 212,263.50

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Solution

The third proportional to 99,024 and 212,263.50 is: 454,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,024 : 212,263.50 = 212,263.50 : x
  2. Step 2: Convert to fraction form
    99,024/212,263.50 = 212,263.50/x
  3. Step 3: Cross multiply
    99,024x = 212,263.50 × 212,263.50
  4. Step 4: Simplify right side
    99,024x = 45,055,793,432.25
  5. Step 5: Solve for x
    x = 45,055,793,432.25/99,024
  6. Step 6: Final answer
    x = 454,998.72

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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.