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Finding the Third Proportional to 176,503,847 and 384,788,317

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Solution

The third proportional to 176,503,847 and 384,788,317 is: 838,860,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,503,847 : 384,788,317 = 384,788,317 : x
  2. Step 2: Convert to fraction form
    176,503,847/384,788,317 = 384,788,317/x
  3. Step 3: Cross multiply
    176,503,847x = 384,788,317 × 384,788,317
  4. Step 4: Simplify right side
    176,503,847x = 148,062,048,899,692,480
  5. Step 5: Solve for x
    x = 148,062,048,899,692,480/176,503,847
  6. Step 6: Final answer
    x = 838,860,180.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.