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Finding the Third Proportional to 166,160,341 and 361,579,460

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Solution

The third proportional to 166,160,341 and 361,579,460 is: 786,828,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,160,341 : 361,579,460 = 361,579,460 : x
  2. Step 2: Convert to fraction form
    166,160,341/361,579,460 = 361,579,460/x
  3. Step 3: Cross multiply
    166,160,341x = 361,579,460 × 361,579,460
  4. Step 4: Simplify right side
    166,160,341x = 130,739,705,893,891,600
  5. Step 5: Solve for x
    x = 130,739,705,893,891,600/166,160,341
  6. Step 6: Final answer
    x = 786,828,584.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.