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Finding the Third Proportional to 123,814,761 and 186,034,141.50

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Solution

The third proportional to 123,814,761 and 186,034,141.50 is: 279,519,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,814,761 : 186,034,141.50 = 186,034,141.50 : x
  2. Step 2: Convert to fraction form
    123,814,761/186,034,141.50 = 186,034,141.50/x
  3. Step 3: Cross multiply
    123,814,761x = 186,034,141.50 × 186,034,141.50
  4. Step 4: Simplify right side
    123,814,761x = 34,608,701,803,642,024
  5. Step 5: Solve for x
    x = 34,608,701,803,642,024/123,814,761
  6. Step 6: Final answer
    x = 279,519,998.46

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Why These Related Problems?

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