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Finding the Third Proportional to 98,247.94 and 210,503.81

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Solution

The third proportional to 98,247.94 and 210,503.81 is: 451,020.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,247.94 : 210,503.81 = 210,503.81 : x
  2. Step 2: Convert to fraction form
    98,247.94/210,503.81 = 210,503.81/x
  3. Step 3: Cross multiply
    98,247.94x = 210,503.81 × 210,503.81
  4. Step 4: Simplify right side
    98,247.94x = 44,311,855,077.04
  5. Step 5: Solve for x
    x = 44,311,855,077.04/98,247.94
  6. Step 6: Final answer
    x = 451,020.72

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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.