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Finding the Third Proportional to 85,483,464 and 201,593,763

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Solution

The third proportional to 85,483,464 and 201,593,763 is: 475,414,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,483,464 : 201,593,763 = 201,593,763 : x
  2. Step 2: Convert to fraction form
    85,483,464/201,593,763 = 201,593,763/x
  3. Step 3: Cross multiply
    85,483,464x = 201,593,763 × 201,593,763
  4. Step 4: Simplify right side
    85,483,464x = 40,640,045,280,500,168
  5. Step 5: Solve for x
    x = 40,640,045,280,500,168/85,483,464
  6. Step 6: Final answer
    x = 475,414,113.78

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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.