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Finding the Third Proportional to 97,046 and 212,084

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Solution

The third proportional to 97,046 and 212,084 is: 463,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,046 : 212,084 = 212,084 : x
  2. Step 2: Convert to fraction form
    97,046/212,084 = 212,084/x
  3. Step 3: Cross multiply
    97,046x = 212,084 × 212,084
  4. Step 4: Simplify right side
    97,046x = 44,979,623,056
  5. Step 5: Solve for x
    x = 44,979,623,056/97,046
  6. Step 6: Final answer
    x = 463,487.66

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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.