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Finding the Third Proportional to 97,011 and 212,085

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Solution

The third proportional to 97,011 and 212,085 is: 463,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,011 : 212,085 = 212,085 : x
  2. Step 2: Convert to fraction form
    97,011/212,085 = 212,085/x
  3. Step 3: Cross multiply
    97,011x = 212,085 × 212,085
  4. Step 4: Simplify right side
    97,011x = 44,980,047,225
  5. Step 5: Solve for x
    x = 44,980,047,225/97,011
  6. Step 6: Final answer
    x = 463,659.25

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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.