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Finding the Third Proportional to 271,638,353.25 and 589,213,095.75

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Solution

The third proportional to 271,638,353.25 and 589,213,095.75 is: 1,278,067,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,638,353.25 : 589,213,095.75 = 589,213,095.75 : x
  2. Step 2: Convert to fraction form
    271,638,353.25/589,213,095.75 = 589,213,095.75/x
  3. Step 3: Cross multiply
    271,638,353.25x = 589,213,095.75 × 589,213,095.75
  4. Step 4: Simplify right side
    271,638,353.25x = 347,172,072,203,298,688
  5. Step 5: Solve for x
    x = 347,172,072,203,298,688/271,638,353.25
  6. Step 6: Final answer
    x = 1,278,067,209.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.