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Finding the Third Proportional to 180,305,529 and 269,396,955

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Solution

The third proportional to 180,305,529 and 269,396,955 is: 402,509,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,305,529 : 269,396,955 = 269,396,955 : x
  2. Step 2: Convert to fraction form
    180,305,529/269,396,955 = 269,396,955/x
  3. Step 3: Cross multiply
    180,305,529x = 269,396,955 × 269,396,955
  4. Step 4: Simplify right side
    180,305,529x = 72,574,719,363,272,032
  5. Step 5: Solve for x
    x = 72,574,719,363,272,032/180,305,529
  6. Step 6: Final answer
    x = 402,509,672.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.