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Finding the Third Proportional to 133,890,696 and 202,856,969.25

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Solution

The third proportional to 133,890,696 and 202,856,969.25 is: 307,347,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,890,696 : 202,856,969.25 = 202,856,969.25 : x
  2. Step 2: Convert to fraction form
    133,890,696/202,856,969.25 = 202,856,969.25/x
  3. Step 3: Cross multiply
    133,890,696x = 202,856,969.25 × 202,856,969.25
  4. Step 4: Simplify right side
    133,890,696x = 41,150,949,973,295,448
  5. Step 5: Solve for x
    x = 41,150,949,973,295,448/133,890,696
  6. Step 6: Final answer
    x = 307,347,345.28

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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.