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Finding the Third Proportional to 166,170,851 and 384,655,433

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Solution

The third proportional to 166,170,851 and 384,655,433 is: 890,407,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,170,851 : 384,655,433 = 384,655,433 : x
  2. Step 2: Convert to fraction form
    166,170,851/384,655,433 = 384,655,433/x
  3. Step 3: Cross multiply
    166,170,851x = 384,655,433 × 384,655,433
  4. Step 4: Simplify right side
    166,170,851x = 147,959,802,136,417,504
  5. Step 5: Solve for x
    x = 147,959,802,136,417,504/166,170,851
  6. Step 6: Final answer
    x = 890,407,681.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.