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Finding the Third Proportional to 201,397,864 and 310,993,532

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Solution

The third proportional to 201,397,864 and 310,993,532 is: 480,228,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,864 : 310,993,532 = 310,993,532 : x
  2. Step 2: Convert to fraction form
    201,397,864/310,993,532 = 310,993,532/x
  3. Step 3: Cross multiply
    201,397,864x = 310,993,532 × 310,993,532
  4. Step 4: Simplify right side
    201,397,864x = 96,716,976,945,835,024
  5. Step 5: Solve for x
    x = 96,716,976,945,835,024/201,397,864
  6. Step 6: Final answer
    x = 480,228,414.67

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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.