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Finding the Third Proportional to 201,890,916 and 439,211,232

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Solution

The third proportional to 201,890,916 and 439,211,232 is: 955,498,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,890,916 : 439,211,232 = 439,211,232 : x
  2. Step 2: Convert to fraction form
    201,890,916/439,211,232 = 439,211,232/x
  3. Step 3: Cross multiply
    201,890,916x = 439,211,232 × 439,211,232
  4. Step 4: Simplify right side
    201,890,916x = 192,906,506,314,957,824
  5. Step 5: Solve for x
    x = 192,906,506,314,957,824/201,890,916
  6. Step 6: Final answer
    x = 955,498,692.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.