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Finding the Third Proportional to 125,509,014 and 271,185,165

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Solution

The third proportional to 125,509,014 and 271,185,165 is: 585,945,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,509,014 : 271,185,165 = 271,185,165 : x
  2. Step 2: Convert to fraction form
    125,509,014/271,185,165 = 271,185,165/x
  3. Step 3: Cross multiply
    125,509,014x = 271,185,165 × 271,185,165
  4. Step 4: Simplify right side
    125,509,014x = 73,541,393,716,077,232
  5. Step 5: Solve for x
    x = 73,541,393,716,077,232/125,509,014
  6. Step 6: Final answer
    x = 585,945,115.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.