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Finding the Third Proportional to 176,864,788 and 380,603,432

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Solution

The third proportional to 176,864,788 and 380,603,432 is: 819,037,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,864,788 : 380,603,432 = 380,603,432 : x
  2. Step 2: Convert to fraction form
    176,864,788/380,603,432 = 380,603,432/x
  3. Step 3: Cross multiply
    176,864,788x = 380,603,432 × 380,603,432
  4. Step 4: Simplify right side
    176,864,788x = 144,858,972,450,178,624
  5. Step 5: Solve for x
    x = 144,858,972,450,178,624/176,864,788
  6. Step 6: Final answer
    x = 819,037,944.68

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Why These Related Problems?

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