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Finding the Third Proportional to 201,397,302 and 310,992,666

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Solution

The third proportional to 201,397,302 and 310,992,666 is: 480,227,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,302 : 310,992,666 = 310,992,666 : x
  2. Step 2: Convert to fraction form
    201,397,302/310,992,666 = 310,992,666/x
  3. Step 3: Cross multiply
    201,397,302x = 310,992,666 × 310,992,666
  4. Step 4: Simplify right side
    201,397,302x = 96,716,438,305,787,552
  5. Step 5: Solve for x
    x = 96,716,438,305,787,552/201,397,302
  6. Step 6: Final answer
    x = 480,227,080.23

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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.