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Finding the Third Proportional to 176,864,739 and 380,603,334

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Solution

The third proportional to 176,864,739 and 380,603,334 is: 819,037,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,864,739 : 380,603,334 = 380,603,334 : x
  2. Step 2: Convert to fraction form
    176,864,739/380,603,334 = 380,603,334/x
  3. Step 3: Cross multiply
    176,864,739x = 380,603,334 × 380,603,334
  4. Step 4: Simplify right side
    176,864,739x = 144,858,897,851,915,552
  5. Step 5: Solve for x
    x = 144,858,897,851,915,552/176,864,739
  6. Step 6: Final answer
    x = 819,037,749.81

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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.