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Finding the Third Proportional to 133,890,699 and 202,856,974.50

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Solution

The third proportional to 133,890,699 and 202,856,974.50 is: 307,347,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,890,699 : 202,856,974.50 = 202,856,974.50 : x
  2. Step 2: Convert to fraction form
    133,890,699/202,856,974.50 = 202,856,974.50/x
  3. Step 3: Cross multiply
    133,890,699x = 202,856,974.50 × 202,856,974.50
  4. Step 4: Simplify right side
    133,890,699x = 41,150,952,103,293,648
  5. Step 5: Solve for x
    x = 41,150,952,103,293,648/133,890,699
  6. Step 6: Final answer
    x = 307,347,354.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.