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Finding the Third Proportional to 181,569,774 and 376,059,102

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Solution

The third proportional to 181,569,774 and 376,059,102 is: 778,876,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,569,774 : 376,059,102 = 376,059,102 : x
  2. Step 2: Convert to fraction form
    181,569,774/376,059,102 = 376,059,102/x
  3. Step 3: Cross multiply
    181,569,774x = 376,059,102 × 376,059,102
  4. Step 4: Simplify right side
    181,569,774x = 141,420,448,197,046,400
  5. Step 5: Solve for x
    x = 141,420,448,197,046,400/181,569,774
  6. Step 6: Final answer
    x = 778,876,599.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.