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Finding the Third Proportional to 127,708,186 and 280,138,221

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Solution

The third proportional to 127,708,186 and 280,138,221 is: 614,505,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,708,186 : 280,138,221 = 280,138,221 : x
  2. Step 2: Convert to fraction form
    127,708,186/280,138,221 = 280,138,221/x
  3. Step 3: Cross multiply
    127,708,186x = 280,138,221 × 280,138,221
  4. Step 4: Simplify right side
    127,708,186x = 78,477,422,865,044,848
  5. Step 5: Solve for x
    x = 78,477,422,865,044,848/127,708,186
  6. Step 6: Final answer
    x = 614,505,814.57

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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.