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Finding the Third Proportional to 45,448 and 97,213

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Solution

The third proportional to 45,448 and 97,213 is: 207,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,448 : 97,213 = 97,213 : x
  2. Step 2: Convert to fraction form
    45,448/97,213 = 97,213/x
  3. Step 3: Cross multiply
    45,448x = 97,213 × 97,213
  4. Step 4: Simplify right side
    45,448x = 9,450,367,369
  5. Step 5: Solve for x
    x = 9,450,367,369/45,448
  6. Step 6: Final answer
    x = 207,938.03

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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.