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Finding the Third Proportional to 97,664 and 210,258

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Solution

The third proportional to 97,664 and 210,258 is: 452,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,664 : 210,258 = 210,258 : x
  2. Step 2: Convert to fraction form
    97,664/210,258 = 210,258/x
  3. Step 3: Cross multiply
    97,664x = 210,258 × 210,258
  4. Step 4: Simplify right side
    97,664x = 44,208,426,564
  5. Step 5: Solve for x
    x = 44,208,426,564/97,664
  6. Step 6: Final answer
    x = 452,658.37

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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.