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Finding the Third Proportional to 91,206,774 and 200,654,724

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Solution

The third proportional to 91,206,774 and 200,654,724 is: 441,439,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,206,774 : 200,654,724 = 200,654,724 : x
  2. Step 2: Convert to fraction form
    91,206,774/200,654,724 = 200,654,724/x
  3. Step 3: Cross multiply
    91,206,774x = 200,654,724 × 200,654,724
  4. Step 4: Simplify right side
    91,206,774x = 40,262,318,263,516,176
  5. Step 5: Solve for x
    x = 40,262,318,263,516,176/91,206,774
  6. Step 6: Final answer
    x = 441,439,999.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.