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Finding the Third Proportional to 252,166,211 and 395,538,534

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Solution

The third proportional to 252,166,211 and 395,538,534 is: 620,427,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,166,211 : 395,538,534 = 395,538,534 : x
  2. Step 2: Convert to fraction form
    252,166,211/395,538,534 = 395,538,534/x
  3. Step 3: Cross multiply
    252,166,211x = 395,538,534 × 395,538,534
  4. Step 4: Simplify right side
    252,166,211x = 156,450,731,878,869,152
  5. Step 5: Solve for x
    x = 156,450,731,878,869,152/252,166,211
  6. Step 6: Final answer
    x = 620,427,024.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.