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Finding the Third Proportional to 45,184 and 97,840

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Solution

The third proportional to 45,184 and 97,840 is: 211,859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,184 : 97,840 = 97,840 : x
  2. Step 2: Convert to fraction form
    45,184/97,840 = 97,840/x
  3. Step 3: Cross multiply
    45,184x = 97,840 × 97,840
  4. Step 4: Simplify right side
    45,184x = 9,572,665,600
  5. Step 5: Solve for x
    x = 9,572,665,600/45,184
  6. Step 6: Final answer
    x = 211,859.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.