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Finding the Third Proportional to 45,318 and 97,198.50

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Solution

The third proportional to 45,318 and 97,198.50 is: 208,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,318 : 97,198.50 = 97,198.50 : x
  2. Step 2: Convert to fraction form
    45,318/97,198.50 = 97,198.50/x
  3. Step 3: Cross multiply
    45,318x = 97,198.50 × 97,198.50
  4. Step 4: Simplify right side
    45,318x = 9,447,548,402.25
  5. Step 5: Solve for x
    x = 9,447,548,402.25/45,318
  6. Step 6: Final answer
    x = 208,472.32

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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.