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Finding the Third Proportional to 206,183,641,012.03 and 443,878,560,647.70

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Solution

The third proportional to 206,183,641,012.03 and 443,878,560,647.70 is: 955,595,582,828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,183,641,012.03 : 443,878,560,647.70 = 443,878,560,647.70 : x
  2. Step 2: Convert to fraction form
    206,183,641,012.03/443,878,560,647.70 = 443,878,560,647.70/x
  3. Step 3: Cross multiply
    206,183,641,012.03x = 443,878,560,647.70 × 443,878,560,647.70
  4. Step 4: Simplify right side
    206,183,641,012.03x = 197,028,176,602,673,895,702,528
  5. Step 5: Solve for x
    x = 197,028,176,602,673,895,702,528/206,183,641,012.03
  6. Step 6: Final answer
    x = 955,595,582,828.89

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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.