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Finding the Third Proportional to 201,397,311 and 310,992,681

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Solution

The third proportional to 201,397,311 and 310,992,681 is: 480,227,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,311 : 310,992,681 = 310,992,681 : x
  2. Step 2: Convert to fraction form
    201,397,311/310,992,681 = 310,992,681/x
  3. Step 3: Cross multiply
    201,397,311x = 310,992,681 × 310,992,681
  4. Step 4: Simplify right side
    201,397,311x = 96,716,447,635,567,760
  5. Step 5: Solve for x
    x = 96,716,447,635,567,760/201,397,311
  6. Step 6: Final answer
    x = 480,227,105.10

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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.