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Finding the Third Proportional to 199,811,122,705 and 431,468,673,045

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Solution

The third proportional to 199,811,122,705 and 431,468,673,045 is: 931,705,969,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,811,122,705 : 431,468,673,045 = 431,468,673,045 : x
  2. Step 2: Convert to fraction form
    199,811,122,705/431,468,673,045 = 431,468,673,045/x
  3. Step 3: Cross multiply
    199,811,122,705x = 431,468,673,045 × 431,468,673,045
  4. Step 4: Simplify right side
    199,811,122,705x = 186,165,215,819,213,096,091,648
  5. Step 5: Solve for x
    x = 186,165,215,819,213,096,091,648/199,811,122,705
  6. Step 6: Final answer
    x = 931,705,969,612.44

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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.