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Finding the Third Proportional to 166,388,994 and 259,656,377

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Solution

The third proportional to 166,388,994 and 259,656,377 is: 405,203,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,388,994 : 259,656,377 = 259,656,377 : x
  2. Step 2: Convert to fraction form
    166,388,994/259,656,377 = 259,656,377/x
  3. Step 3: Cross multiply
    166,388,994x = 259,656,377 × 259,656,377
  4. Step 4: Simplify right side
    166,388,994x = 67,421,434,116,766,128
  5. Step 5: Solve for x
    x = 67,421,434,116,766,128/166,388,994
  6. Step 6: Final answer
    x = 405,203,688.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.