Home / 199,811,122,843.50-431,468,673,313.50

Finding the Third Proportional to 199,811,122,843.50 and 431,468,673,313.50

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Solution

The third proportional to 199,811,122,843.50 and 431,468,673,313.50 is: 931,705,970,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,811,122,843.50 : 431,468,673,313.50 = 431,468,673,313.50 : x
  2. Step 2: Convert to fraction form
    199,811,122,843.50/431,468,673,313.50 = 431,468,673,313.50/x
  3. Step 3: Cross multiply
    199,811,122,843.50x = 431,468,673,313.50 × 431,468,673,313.50
  4. Step 4: Simplify right side
    199,811,122,843.50x = 186,165,216,050,911,784,206,336
  5. Step 5: Solve for x
    x = 186,165,216,050,911,784,206,336/199,811,122,843.50
  6. Step 6: Final answer
    x = 931,705,970,126.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.