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Finding the Third Proportional to 153,131,661 and 235,374,336

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Solution

The third proportional to 153,131,661 and 235,374,336 is: 361,787,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,131,661 : 235,374,336 = 235,374,336 : x
  2. Step 2: Convert to fraction form
    153,131,661/235,374,336 = 235,374,336/x
  3. Step 3: Cross multiply
    153,131,661x = 235,374,336 × 235,374,336
  4. Step 4: Simplify right side
    153,131,661x = 55,401,078,047,440,896
  5. Step 5: Solve for x
    x = 55,401,078,047,440,896/153,131,661
  6. Step 6: Final answer
    x = 361,787,220.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.