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Finding the Third Proportional to 131,183,064 and 287,078,256

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Solution

The third proportional to 131,183,064 and 287,078,256 is: 628,236,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,183,064 : 287,078,256 = 287,078,256 : x
  2. Step 2: Convert to fraction form
    131,183,064/287,078,256 = 287,078,256/x
  3. Step 3: Cross multiply
    131,183,064x = 287,078,256 × 287,078,256
  4. Step 4: Simplify right side
    131,183,064x = 82,413,925,068,001,536
  5. Step 5: Solve for x
    x = 82,413,925,068,001,536/131,183,064
  6. Step 6: Final answer
    x = 628,236,012.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.