Home / 178,693,975,873.83-382,880,993,390.57

Finding the Third Proportional to 178,693,975,873.83 and 382,880,993,390.57

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Solution

The third proportional to 178,693,975,873.83 and 382,880,993,390.57 is: 820,384,987,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,693,975,873.83 : 382,880,993,390.57 = 382,880,993,390.57 : x
  2. Step 2: Convert to fraction form
    178,693,975,873.83/382,880,993,390.57 = 382,880,993,390.57/x
  3. Step 3: Cross multiply
    178,693,975,873.83x = 382,880,993,390.57 × 382,880,993,390.57
  4. Step 4: Simplify right side
    178,693,975,873.83x = 146,597,855,099,749,719,343,104
  5. Step 5: Solve for x
    x = 146,597,855,099,749,719,343,104/178,693,975,873.83
  6. Step 6: Final answer
    x = 820,384,987,142.81

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Why These Related Problems?

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