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Finding the Third Proportional to 201,350,086 and 310,926,595

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Solution

The third proportional to 201,350,086 and 310,926,595 is: 480,135,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,350,086 : 310,926,595 = 310,926,595 : x
  2. Step 2: Convert to fraction form
    201,350,086/310,926,595 = 310,926,595/x
  3. Step 3: Cross multiply
    201,350,086x = 310,926,595 × 310,926,595
  4. Step 4: Simplify right side
    201,350,086x = 96,675,347,478,294,032
  5. Step 5: Solve for x
    x = 96,675,347,478,294,032/201,350,086
  6. Step 6: Final answer
    x = 480,135,615.53

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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.