Home / 189,246,852,816.75-407,196,485,420.25

Finding the Third Proportional to 189,246,852,816.75 and 407,196,485,420.25

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Solution

The third proportional to 189,246,852,816.75 and 407,196,485,420.25 is: 876,151,836,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,246,852,816.75 : 407,196,485,420.25 = 407,196,485,420.25 : x
  2. Step 2: Convert to fraction form
    189,246,852,816.75/407,196,485,420.25 = 407,196,485,420.25/x
  3. Step 3: Cross multiply
    189,246,852,816.75x = 407,196,485,420.25 × 407,196,485,420.25
  4. Step 4: Simplify right side
    189,246,852,816.75x = 165,808,977,738,603,876,581,376
  5. Step 5: Solve for x
    x = 165,808,977,738,603,876,581,376/189,246,852,816.75
  6. Step 6: Final answer
    x = 876,151,836,982.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.