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Finding the Third Proportional to 166,109,822 and 363,497,146

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Solution

The third proportional to 166,109,822 and 363,497,146 is: 795,438,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,109,822 : 363,497,146 = 363,497,146 : x
  2. Step 2: Convert to fraction form
    166,109,822/363,497,146 = 363,497,146/x
  3. Step 3: Cross multiply
    166,109,822x = 363,497,146 × 363,497,146
  4. Step 4: Simplify right side
    166,109,822x = 132,130,175,150,145,312
  5. Step 5: Solve for x
    x = 132,130,175,150,145,312/166,109,822
  6. Step 6: Final answer
    x = 795,438,665.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.