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Finding the Third Proportional to 201,397,530 and 310,993,018

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Solution

The third proportional to 201,397,530 and 310,993,018 is: 480,227,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,530 : 310,993,018 = 310,993,018 : x
  2. Step 2: Convert to fraction form
    201,397,530/310,993,018 = 310,993,018/x
  3. Step 3: Cross multiply
    201,397,530x = 310,993,018 × 310,993,018
  4. Step 4: Simplify right side
    201,397,530x = 96,716,657,244,748,320
  5. Step 5: Solve for x
    x = 96,716,657,244,748,320/201,397,530
  6. Step 6: Final answer
    x = 480,227,623.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.