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Finding the Third Proportional to 176,864,736 and 380,603,328

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Solution

The third proportional to 176,864,736 and 380,603,328 is: 819,037,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,864,736 : 380,603,328 = 380,603,328 : x
  2. Step 2: Convert to fraction form
    176,864,736/380,603,328 = 380,603,328/x
  3. Step 3: Cross multiply
    176,864,736x = 380,603,328 × 380,603,328
  4. Step 4: Simplify right side
    176,864,736x = 144,858,893,284,675,584
  5. Step 5: Solve for x
    x = 144,858,893,284,675,584/176,864,736
  6. Step 6: Final answer
    x = 819,037,737.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.