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Finding the Third Proportional to 120,827,782,948.50 and 189,543,134,952

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Solution

The third proportional to 120,827,782,948.50 and 189,543,134,952 is: 297,337,244,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,827,782,948.50 : 189,543,134,952 = 189,543,134,952 : x
  2. Step 2: Convert to fraction form
    120,827,782,948.50/189,543,134,952 = 189,543,134,952/x
  3. Step 3: Cross multiply
    120,827,782,948.50x = 189,543,134,952 × 189,543,134,952
  4. Step 4: Simplify right side
    120,827,782,948.50x = 35,926,600,007,432,083,079,168
  5. Step 5: Solve for x
    x = 35,926,600,007,432,083,079,168/120,827,782,948.50
  6. Step 6: Final answer
    x = 297,337,244,222.59

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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.