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Finding the Third Proportional to 97,315,644 and 136,053,234

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Solution

The third proportional to 97,315,644 and 136,053,234 is: 190,210,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,315,644 : 136,053,234 = 136,053,234 : x
  2. Step 2: Convert to fraction form
    97,315,644/136,053,234 = 136,053,234/x
  3. Step 3: Cross multiply
    97,315,644x = 136,053,234 × 136,053,234
  4. Step 4: Simplify right side
    97,315,644x = 18,510,482,481,858,756
  5. Step 5: Solve for x
    x = 18,510,482,481,858,756/97,315,644
  6. Step 6: Final answer
    x = 190,210,758.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.