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Finding the Third Proportional to 96,803 and 208,438.50

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Solution

The third proportional to 96,803 and 208,438.50 is: 448,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,803 : 208,438.50 = 208,438.50 : x
  2. Step 2: Convert to fraction form
    96,803/208,438.50 = 208,438.50/x
  3. Step 3: Cross multiply
    96,803x = 208,438.50 × 208,438.50
  4. Step 4: Simplify right side
    96,803x = 43,446,608,282.25
  5. Step 5: Solve for x
    x = 43,446,608,282.25/96,803
  6. Step 6: Final answer
    x = 448,814.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.