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Finding the Third Proportional to 45,315 and 97,189

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Solution

The third proportional to 45,315 and 97,189 is: 208,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,315 : 97,189 = 97,189 : x
  2. Step 2: Convert to fraction form
    45,315/97,189 = 97,189/x
  3. Step 3: Cross multiply
    45,315x = 97,189 × 97,189
  4. Step 4: Simplify right side
    45,315x = 9,445,701,721
  5. Step 5: Solve for x
    x = 9,445,701,721/45,315
  6. Step 6: Final answer
    x = 208,445.37

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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.