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Finding the Third Proportional to 97,308 and 210,608

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Solution

The third proportional to 97,308 and 210,608 is: 455,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,308 : 210,608 = 210,608 : x
  2. Step 2: Convert to fraction form
    97,308/210,608 = 210,608/x
  3. Step 3: Cross multiply
    97,308x = 210,608 × 210,608
  4. Step 4: Simplify right side
    97,308x = 44,355,729,664
  5. Step 5: Solve for x
    x = 44,355,729,664/97,308
  6. Step 6: Final answer
    x = 455,828.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.