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Finding the Third Proportional to 169,888,945 and 262,344,032

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Solution

The third proportional to 169,888,945 and 262,344,032 is: 405,114,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,888,945 : 262,344,032 = 262,344,032 : x
  2. Step 2: Convert to fraction form
    169,888,945/262,344,032 = 262,344,032/x
  3. Step 3: Cross multiply
    169,888,945x = 262,344,032 × 262,344,032
  4. Step 4: Simplify right side
    169,888,945x = 68,824,391,126,017,024
  5. Step 5: Solve for x
    x = 68,824,391,126,017,024/169,888,945
  6. Step 6: Final answer
    x = 405,114,006.25

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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.