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Finding the Third Proportional to 45,318 and 97,914

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Solution

The third proportional to 45,318 and 97,914 is: 211,552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,318 : 97,914 = 97,914 : x
  2. Step 2: Convert to fraction form
    45,318/97,914 = 97,914/x
  3. Step 3: Cross multiply
    45,318x = 97,914 × 97,914
  4. Step 4: Simplify right side
    45,318x = 9,587,151,396
  5. Step 5: Solve for x
    x = 9,587,151,396/45,318
  6. Step 6: Final answer
    x = 211,552.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.