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Finding the Third Proportional to 201,397,606 and 310,993,146

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Solution

The third proportional to 201,397,606 and 310,993,146 is: 480,227,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,606 : 310,993,146 = 310,993,146 : x
  2. Step 2: Convert to fraction form
    201,397,606/310,993,146 = 310,993,146/x
  3. Step 3: Cross multiply
    201,397,606x = 310,993,146 × 310,993,146
  4. Step 4: Simplify right side
    201,397,606x = 96,716,736,858,977,312
  5. Step 5: Solve for x
    x = 96,716,736,858,977,312/201,397,606
  6. Step 6: Final answer
    x = 480,227,837.76

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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.