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Finding the Third Proportional to 117,071,353.50 and 260,318,013

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Solution

The third proportional to 117,071,353.50 and 260,318,013 is: 578,839,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,071,353.50 : 260,318,013 = 260,318,013 : x
  2. Step 2: Convert to fraction form
    117,071,353.50/260,318,013 = 260,318,013/x
  3. Step 3: Cross multiply
    117,071,353.50x = 260,318,013 × 260,318,013
  4. Step 4: Simplify right side
    117,071,353.50x = 67,765,467,892,268,168
  5. Step 5: Solve for x
    x = 67,765,467,892,268,168/117,071,353.50
  6. Step 6: Final answer
    x = 578,839,023.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.