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Finding the Third Proportional to 185,900,109.75 and 281,241,093

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Solution

The third proportional to 185,900,109.75 and 281,241,093 is: 425,478,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,900,109.75 : 281,241,093 = 281,241,093 : x
  2. Step 2: Convert to fraction form
    185,900,109.75/281,241,093 = 281,241,093/x
  3. Step 3: Cross multiply
    185,900,109.75x = 281,241,093 × 281,241,093
  4. Step 4: Simplify right side
    185,900,109.75x = 79,096,552,391,834,656
  5. Step 5: Solve for x
    x = 79,096,552,391,834,656/185,900,109.75
  6. Step 6: Final answer
    x = 425,478,782.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.