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Finding the Third Proportional to 114,860,745 and 173,658,706.31

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Solution

The third proportional to 114,860,745 and 173,658,706.31 is: 262,555,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,860,745 : 173,658,706.31 = 173,658,706.31 : x
  2. Step 2: Convert to fraction form
    114,860,745/173,658,706.31 = 173,658,706.31/x
  3. Step 3: Cross multiply
    114,860,745x = 173,658,706.31 × 173,658,706.31
  4. Step 4: Simplify right side
    114,860,745x = 30,157,346,278,131,128
  5. Step 5: Solve for x
    x = 30,157,346,278,131,128/114,860,745
  6. Step 6: Final answer
    x = 262,555,725.88

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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.