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Finding the Third Proportional to 97,483 and 209,472

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Solution

The third proportional to 97,483 and 209,472 is: 450,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,483 : 209,472 = 209,472 : x
  2. Step 2: Convert to fraction form
    97,483/209,472 = 209,472/x
  3. Step 3: Cross multiply
    97,483x = 209,472 × 209,472
  4. Step 4: Simplify right side
    97,483x = 43,878,518,784
  5. Step 5: Solve for x
    x = 43,878,518,784/97,483
  6. Step 6: Final answer
    x = 450,114.57

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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.