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Finding the Third Proportional to 166,095,064 and 363,470,106

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Solution

The third proportional to 166,095,064 and 363,470,106 is: 795,390,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,095,064 : 363,470,106 = 363,470,106 : x
  2. Step 2: Convert to fraction form
    166,095,064/363,470,106 = 363,470,106/x
  3. Step 3: Cross multiply
    166,095,064x = 363,470,106 × 363,470,106
  4. Step 4: Simplify right side
    166,095,064x = 132,110,517,955,651,232
  5. Step 5: Solve for x
    x = 132,110,517,955,651,232/166,095,064
  6. Step 6: Final answer
    x = 795,390,993.41

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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.