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Finding the Third Proportional to 231,731,805 and 324,771,531

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Solution

The third proportional to 231,731,805 and 324,771,531 is: 455,166,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,731,805 : 324,771,531 = 324,771,531 : x
  2. Step 2: Convert to fraction form
    231,731,805/324,771,531 = 324,771,531/x
  3. Step 3: Cross multiply
    231,731,805x = 324,771,531 × 324,771,531
  4. Step 4: Simplify right side
    231,731,805x = 105,476,547,348,083,968
  5. Step 5: Solve for x
    x = 105,476,547,348,083,968/231,731,805
  6. Step 6: Final answer
    x = 455,166,468.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.