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Finding the Third Proportional to 201,398,001 and 310,993,740

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Solution

The third proportional to 201,398,001 and 310,993,740 is: 480,228,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,398,001 : 310,993,740 = 310,993,740 : x
  2. Step 2: Convert to fraction form
    201,398,001/310,993,740 = 310,993,740/x
  3. Step 3: Cross multiply
    201,398,001x = 310,993,740 × 310,993,740
  4. Step 4: Simplify right side
    201,398,001x = 96,717,106,319,187,600
  5. Step 5: Solve for x
    x = 96,717,106,319,187,600/201,398,001
  6. Step 6: Final answer
    x = 480,228,730.37

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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.