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Finding the Third Proportional to 169,888,949 and 262,344,038

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Solution

The third proportional to 169,888,949 and 262,344,038 is: 405,114,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,888,949 : 262,344,038 = 262,344,038 : x
  2. Step 2: Convert to fraction form
    169,888,949/262,344,038 = 262,344,038/x
  3. Step 3: Cross multiply
    169,888,949x = 262,344,038 × 262,344,038
  4. Step 4: Simplify right side
    169,888,949x = 68,824,394,274,145,440
  5. Step 5: Solve for x
    x = 68,824,394,274,145,440/169,888,949
  6. Step 6: Final answer
    x = 405,114,015.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.