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Finding the Third Proportional to 166,999,329 and 345,454,164

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Solution

The third proportional to 166,999,329 and 345,454,164 is: 714,605,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,999,329 : 345,454,164 = 345,454,164 : x
  2. Step 2: Convert to fraction form
    166,999,329/345,454,164 = 345,454,164/x
  3. Step 3: Cross multiply
    166,999,329x = 345,454,164 × 345,454,164
  4. Step 4: Simplify right side
    166,999,329x = 119,338,579,424,938,896
  5. Step 5: Solve for x
    x = 119,338,579,424,938,896/166,999,329
  6. Step 6: Final answer
    x = 714,605,143.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.