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Finding the Third Proportional to 91,091,961 and 198,356,787

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Solution

The third proportional to 91,091,961 and 198,356,787 is: 431,930,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,091,961 : 198,356,787 = 198,356,787 : x
  2. Step 2: Convert to fraction form
    91,091,961/198,356,787 = 198,356,787/x
  3. Step 3: Cross multiply
    91,091,961x = 198,356,787 × 198,356,787
  4. Step 4: Simplify right side
    91,091,961x = 39,345,414,948,963,368
  5. Step 5: Solve for x
    x = 39,345,414,948,963,368/91,091,961
  6. Step 6: Final answer
    x = 431,930,705.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.