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Finding the Third Proportional to 123,814,760 and 186,034,140

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Solution

The third proportional to 123,814,760 and 186,034,140 is: 279,519,996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,814,760 : 186,034,140 = 186,034,140 : x
  2. Step 2: Convert to fraction form
    123,814,760/186,034,140 = 186,034,140/x
  3. Step 3: Cross multiply
    123,814,760x = 186,034,140 × 186,034,140
  4. Step 4: Simplify right side
    123,814,760x = 34,608,701,245,539,600
  5. Step 5: Solve for x
    x = 34,608,701,245,539,600/123,814,760
  6. Step 6: Final answer
    x = 279,519,996.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.