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Finding the Third Proportional to 167,968,666 and 260,796,512

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Solution

The third proportional to 167,968,666 and 260,796,512 is: 404,925,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,968,666 : 260,796,512 = 260,796,512 : x
  2. Step 2: Convert to fraction form
    167,968,666/260,796,512 = 260,796,512/x
  3. Step 3: Cross multiply
    167,968,666x = 260,796,512 × 260,796,512
  4. Step 4: Simplify right side
    167,968,666x = 68,014,820,671,366,144
  5. Step 5: Solve for x
    x = 68,014,820,671,366,144/167,968,666
  6. Step 6: Final answer
    x = 404,925,646.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.