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Finding the Third Proportional to 202,268,569.50 and 443,907,747

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Solution

The third proportional to 202,268,569.50 and 443,907,747 is: 974,220,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,268,569.50 : 443,907,747 = 443,907,747 : x
  2. Step 2: Convert to fraction form
    202,268,569.50/443,907,747 = 443,907,747/x
  3. Step 3: Cross multiply
    202,268,569.50x = 443,907,747 × 443,907,747
  4. Step 4: Simplify right side
    202,268,569.50x = 197,054,087,846,616,000
  5. Step 5: Solve for x
    x = 197,054,087,846,616,000/202,268,569.50
  6. Step 6: Final answer
    x = 974,220,010.23

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Why These Related Problems?

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