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Finding the Third Proportional to 76,420,257 and 161,466,113

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Solution

The third proportional to 76,420,257 and 161,466,113 is: 341,157,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,420,257 : 161,466,113 = 161,466,113 : x
  2. Step 2: Convert to fraction form
    76,420,257/161,466,113 = 161,466,113/x
  3. Step 3: Cross multiply
    76,420,257x = 161,466,113 × 161,466,113
  4. Step 4: Simplify right side
    76,420,257x = 26,071,305,647,328,768
  5. Step 5: Solve for x
    x = 26,071,305,647,328,768/76,420,257
  6. Step 6: Final answer
    x = 341,157,000.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.