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Finding the Third Proportional to 97,072.88 and 207,640.13

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Solution

The third proportional to 97,072.88 and 207,640.13 is: 444,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,072.88 : 207,640.13 = 207,640.13 : x
  2. Step 2: Convert to fraction form
    97,072.88/207,640.13 = 207,640.13/x
  3. Step 3: Cross multiply
    97,072.88x = 207,640.13 × 207,640.13
  4. Step 4: Simplify right side
    97,072.88x = 43,114,421,510.02
  5. Step 5: Solve for x
    x = 43,114,421,510.02/97,072.88
  6. Step 6: Final answer
    x = 444,144.89

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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.