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Finding the Third Proportional to 120,865,719.38 and 258,961,677.75

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Solution

The third proportional to 120,865,719.38 and 258,961,677.75 is: 554,840,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,865,719.38 : 258,961,677.75 = 258,961,677.75 : x
  2. Step 2: Convert to fraction form
    120,865,719.38/258,961,677.75 = 258,961,677.75/x
  3. Step 3: Cross multiply
    120,865,719.38x = 258,961,677.75 × 258,961,677.75
  4. Step 4: Simplify right side
    120,865,719.38x = 67,061,150,543,094,848
  5. Step 5: Solve for x
    x = 67,061,150,543,094,848/120,865,719.38
  6. Step 6: Final answer
    x = 554,840,122.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.