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Finding the Third Proportional to 127,708,188 and 280,138,226

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Solution

The third proportional to 127,708,188 and 280,138,226 is: 614,505,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,708,188 : 280,138,226 = 280,138,226 : x
  2. Step 2: Convert to fraction form
    127,708,188/280,138,226 = 280,138,226/x
  3. Step 3: Cross multiply
    127,708,188x = 280,138,226 × 280,138,226
  4. Step 4: Simplify right side
    127,708,188x = 78,477,425,666,427,072
  5. Step 5: Solve for x
    x = 78,477,425,666,427,072/127,708,188
  6. Step 6: Final answer
    x = 614,505,826.88

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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.