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Finding the Third Proportional to 169,889,109.75 and 262,344,277.13

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Solution

The third proportional to 169,889,109.75 and 262,344,277.13 is: 405,114,370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,889,109.75 : 262,344,277.13 = 262,344,277.13 : x
  2. Step 2: Convert to fraction form
    169,889,109.75/262,344,277.13 = 262,344,277.13/x
  3. Step 3: Cross multiply
    169,889,109.75x = 262,344,277.13 × 262,344,277.13
  4. Step 4: Simplify right side
    169,889,109.75x = 68,824,519,740,238,800
  5. Step 5: Solve for x
    x = 68,824,519,740,238,800/169,889,109.75
  6. Step 6: Final answer
    x = 405,114,370.44

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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.