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Finding the Third Proportional to 51,982,135,197 and 113,929,586,307

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Solution

The third proportional to 51,982,135,197 and 113,929,586,307 is: 249,700,220,794.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982,135,197 : 113,929,586,307 = 113,929,586,307 : x
  2. Step 2: Convert to fraction form
    51,982,135,197/113,929,586,307 = 113,929,586,307/x
  3. Step 3: Cross multiply
    51,982,135,197x = 113,929,586,307 × 113,929,586,307
  4. Step 4: Simplify right side
    51,982,135,197x = 12,979,950,636,084,160,888,832
  5. Step 5: Solve for x
    x = 12,979,950,636,084,160,888,832/51,982,135,197
  6. Step 6: Final answer
    x = 249,700,220,794.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.