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Finding the Third Proportional to 45,458 and 97,392

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Solution

The third proportional to 45,458 and 97,392 is: 208,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,458 : 97,392 = 97,392 : x
  2. Step 2: Convert to fraction form
    45,458/97,392 = 97,392/x
  3. Step 3: Cross multiply
    45,458x = 97,392 × 97,392
  4. Step 4: Simplify right side
    45,458x = 9,485,201,664
  5. Step 5: Solve for x
    x = 9,485,201,664/45,458
  6. Step 6: Final answer
    x = 208,658.58

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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.