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Finding the Third Proportional to 201,397,662 and 310,993,211

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Solution

The third proportional to 201,397,662 and 310,993,211 is: 480,227,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,662 : 310,993,211 = 310,993,211 : x
  2. Step 2: Convert to fraction form
    201,397,662/310,993,211 = 310,993,211/x
  3. Step 3: Cross multiply
    201,397,662x = 310,993,211 × 310,993,211
  4. Step 4: Simplify right side
    201,397,662x = 96,716,777,288,090,528
  5. Step 5: Solve for x
    x = 96,716,777,288,090,528/201,397,662
  6. Step 6: Final answer
    x = 480,227,904.97

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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.