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Finding the Third Proportional to 133,089,517,816 and 295,935,952,494

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Solution

The third proportional to 133,089,517,816 and 295,935,952,494 is: 658,038,960,661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,089,517,816 : 295,935,952,494 = 295,935,952,494 : x
  2. Step 2: Convert to fraction form
    133,089,517,816/295,935,952,494 = 295,935,952,494/x
  3. Step 3: Cross multiply
    133,089,517,816x = 295,935,952,494 × 295,935,952,494
  4. Step 4: Simplify right side
    133,089,517,816x = 87,578,087,978,531,028,992,000
  5. Step 5: Solve for x
    x = 87,578,087,978,531,028,992,000/133,089,517,816
  6. Step 6: Final answer
    x = 658,038,960,661.13

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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.