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Finding the Third Proportional to 202,328,414 and 477,464,881

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Solution

The third proportional to 202,328,414 and 477,464,881 is: 1,126,745,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,328,414 : 477,464,881 = 477,464,881 : x
  2. Step 2: Convert to fraction form
    202,328,414/477,464,881 = 477,464,881/x
  3. Step 3: Cross multiply
    202,328,414x = 477,464,881 × 477,464,881
  4. Step 4: Simplify right side
    202,328,414x = 227,972,712,588,344,160
  5. Step 5: Solve for x
    x = 227,972,712,588,344,160/202,328,414
  6. Step 6: Final answer
    x = 1,126,745,908.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.