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Finding the Third Proportional to 97,460 and 211,564

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Solution

The third proportional to 97,460 and 211,564 is: 459,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,460 : 211,564 = 211,564 : x
  2. Step 2: Convert to fraction form
    97,460/211,564 = 211,564/x
  3. Step 3: Cross multiply
    97,460x = 211,564 × 211,564
  4. Step 4: Simplify right side
    97,460x = 44,759,326,096
  5. Step 5: Solve for x
    x = 44,759,326,096/97,460
  6. Step 6: Final answer
    x = 459,258.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.