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Finding the Third Proportional to 97,482 and 213,582

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Solution

The third proportional to 97,482 and 213,582 is: 467,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,482 : 213,582 = 213,582 : x
  2. Step 2: Convert to fraction form
    97,482/213,582 = 213,582/x
  3. Step 3: Cross multiply
    97,482x = 213,582 × 213,582
  4. Step 4: Simplify right side
    97,482x = 45,617,270,724
  5. Step 5: Solve for x
    x = 45,617,270,724/97,482
  6. Step 6: Final answer
    x = 467,955.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.