Home / 199,811,122,825.50-431,468,673,284.24

Finding the Third Proportional to 199,811,122,825.50 and 431,468,673,284.24

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Solution

The third proportional to 199,811,122,825.50 and 431,468,673,284.24 is: 931,705,970,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,811,122,825.50 : 431,468,673,284.24 = 431,468,673,284.24 : x
  2. Step 2: Convert to fraction form
    199,811,122,825.50/431,468,673,284.24 = 431,468,673,284.24/x
  3. Step 3: Cross multiply
    199,811,122,825.50x = 431,468,673,284.24 × 431,468,673,284.24
  4. Step 4: Simplify right side
    199,811,122,825.50x = 186,165,216,025,662,241,898,496
  5. Step 5: Solve for x
    x = 186,165,216,025,662,241,898,496/199,811,122,825.50
  6. Step 6: Final answer
    x = 931,705,970,083.78

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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.