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Finding the Third Proportional to 201,397,496 and 310,992,964

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Solution

The third proportional to 201,397,496 and 310,992,964 is: 480,227,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,496 : 310,992,964 = 310,992,964 : x
  2. Step 2: Convert to fraction form
    201,397,496/310,992,964 = 310,992,964/x
  3. Step 3: Cross multiply
    201,397,496x = 310,992,964 × 310,992,964
  4. Step 4: Simplify right side
    201,397,496x = 96,716,623,657,505,296
  5. Step 5: Solve for x
    x = 96,716,623,657,505,296/201,397,496
  6. Step 6: Final answer
    x = 480,227,537.97

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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.