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Finding the Third Proportional to 202,268,556 and 443,907,720

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Solution

The third proportional to 202,268,556 and 443,907,720 is: 974,219,956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,268,556 : 443,907,720 = 443,907,720 : x
  2. Step 2: Convert to fraction form
    202,268,556/443,907,720 = 443,907,720/x
  3. Step 3: Cross multiply
    202,268,556x = 443,907,720 × 443,907,720
  4. Step 4: Simplify right side
    202,268,556x = 197,054,063,875,598,400
  5. Step 5: Solve for x
    x = 197,054,063,875,598,400/202,268,556
  6. Step 6: Final answer
    x = 974,219,956.74

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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.