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Finding the Third Proportional to 165,015,066 and 349,700,490

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Solution

The third proportional to 165,015,066 and 349,700,490 is: 741,086,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,015,066 : 349,700,490 = 349,700,490 : x
  2. Step 2: Convert to fraction form
    165,015,066/349,700,490 = 349,700,490/x
  3. Step 3: Cross multiply
    165,015,066x = 349,700,490 × 349,700,490
  4. Step 4: Simplify right side
    165,015,066x = 122,290,432,706,240,096
  5. Step 5: Solve for x
    x = 122,290,432,706,240,096/165,015,066
  6. Step 6: Final answer
    x = 741,086,469.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.