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Finding the Third Proportional to 89,307.25 and 190,897

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Solution

The third proportional to 89,307.25 and 190,897 is: 408,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,307.25 : 190,897 = 190,897 : x
  2. Step 2: Convert to fraction form
    89,307.25/190,897 = 190,897/x
  3. Step 3: Cross multiply
    89,307.25x = 190,897 × 190,897
  4. Step 4: Simplify right side
    89,307.25x = 36,441,664,609
  5. Step 5: Solve for x
    x = 36,441,664,609/89,307.25
  6. Step 6: Final answer
    x = 408,048.22

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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.