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Finding the Third Proportional to 136,883,748 and 304,372,512

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Solution

The third proportional to 136,883,748 and 304,372,512 is: 676,797,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,883,748 : 304,372,512 = 304,372,512 : x
  2. Step 2: Convert to fraction form
    136,883,748/304,372,512 = 304,372,512/x
  3. Step 3: Cross multiply
    136,883,748x = 304,372,512 × 304,372,512
  4. Step 4: Simplify right side
    136,883,748x = 92,642,626,061,190,144
  5. Step 5: Solve for x
    x = 92,642,626,061,190,144/136,883,748
  6. Step 6: Final answer
    x = 676,797,847.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.