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Finding the Third Proportional to 96,003 and 209,476

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Solution

The third proportional to 96,003 and 209,476 is: 457,071.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,003 : 209,476 = 209,476 : x
  2. Step 2: Convert to fraction form
    96,003/209,476 = 209,476/x
  3. Step 3: Cross multiply
    96,003x = 209,476 × 209,476
  4. Step 4: Simplify right side
    96,003x = 43,880,194,576
  5. Step 5: Solve for x
    x = 43,880,194,576/96,003
  6. Step 6: Final answer
    x = 457,071.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.