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Finding the Third Proportional to 97,204,053 and 136,729,543.50

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Solution

The third proportional to 97,204,053 and 136,729,543.50 is: 192,327,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,204,053 : 136,729,543.50 = 136,729,543.50 : x
  2. Step 2: Convert to fraction form
    97,204,053/136,729,543.50 = 136,729,543.50/x
  3. Step 3: Cross multiply
    97,204,053x = 136,729,543.50 × 136,729,543.50
  4. Step 4: Simplify right side
    97,204,053x = 18,694,968,065,718,392
  5. Step 5: Solve for x
    x = 18,694,968,065,718,392/97,204,053
  6. Step 6: Final answer
    x = 192,327,042.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.