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Finding the Third Proportional to 204,763,281.75 and 289,733,729.63

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Solution

The third proportional to 204,763,281.75 and 289,733,729.63 is: 409,964,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,763,281.75 : 289,733,729.63 = 289,733,729.63 : x
  2. Step 2: Convert to fraction form
    204,763,281.75/289,733,729.63 = 289,733,729.63/x
  3. Step 3: Cross multiply
    204,763,281.75x = 289,733,729.63 × 289,733,729.63
  4. Step 4: Simplify right side
    204,763,281.75x = 83,945,634,082,412,608
  5. Step 5: Solve for x
    x = 83,945,634,082,412,608/204,763,281.75
  6. Step 6: Final answer
    x = 409,964,293.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.