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Finding the Third Proportional to 238,326,682 and 513,173,302

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Solution

The third proportional to 238,326,682 and 513,173,302 is: 1,104,982,604.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,326,682 : 513,173,302 = 513,173,302 : x
  2. Step 2: Convert to fraction form
    238,326,682/513,173,302 = 513,173,302/x
  3. Step 3: Cross multiply
    238,326,682x = 513,173,302 × 513,173,302
  4. Step 4: Simplify right side
    238,326,682x = 263,346,837,885,583,200
  5. Step 5: Solve for x
    x = 263,346,837,885,583,200/238,326,682
  6. Step 6: Final answer
    x = 1,104,982,604.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.