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Finding the Third Proportional to 178,005,208 and 369,652,976

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Solution

The third proportional to 178,005,208 and 369,652,976 is: 767,636,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,005,208 : 369,652,976 = 369,652,976 : x
  2. Step 2: Convert to fraction form
    178,005,208/369,652,976 = 369,652,976/x
  3. Step 3: Cross multiply
    178,005,208x = 369,652,976 × 369,652,976
  4. Step 4: Simplify right side
    178,005,208x = 136,643,322,665,656,576
  5. Step 5: Solve for x
    x = 136,643,322,665,656,576/178,005,208
  6. Step 6: Final answer
    x = 767,636,656.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.