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Finding the Third Proportional to 97,206 and 150,111

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Solution

The third proportional to 97,206 and 150,111 is: 231,809.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,206 : 150,111 = 150,111 : x
  2. Step 2: Convert to fraction form
    97,206/150,111 = 150,111/x
  3. Step 3: Cross multiply
    97,206x = 150,111 × 150,111
  4. Step 4: Simplify right side
    97,206x = 22,533,312,321
  5. Step 5: Solve for x
    x = 22,533,312,321/97,206
  6. Step 6: Final answer
    x = 231,809.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.