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Finding the Third Proportional to 45,319.13 and 97,197

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Solution

The third proportional to 45,319.13 and 97,197 is: 208,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,319.13 : 97,197 = 97,197 : x
  2. Step 2: Convert to fraction form
    45,319.13/97,197 = 97,197/x
  3. Step 3: Cross multiply
    45,319.13x = 97,197 × 97,197
  4. Step 4: Simplify right side
    45,319.13x = 9,447,256,809
  5. Step 5: Solve for x
    x = 9,447,256,809/45,319.13
  6. Step 6: Final answer
    x = 208,460.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.