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Finding the Third Proportional to 201,350,064 and 310,926,564

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Solution

The third proportional to 201,350,064 and 310,926,564 is: 480,135,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,350,064 : 310,926,564 = 310,926,564 : x
  2. Step 2: Convert to fraction form
    201,350,064/310,926,564 = 310,926,564/x
  3. Step 3: Cross multiply
    201,350,064x = 310,926,564 × 310,926,564
  4. Step 4: Simplify right side
    201,350,064x = 96,675,328,200,846,096
  5. Step 5: Solve for x
    x = 96,675,328,200,846,096/201,350,064
  6. Step 6: Final answer
    x = 480,135,572.25

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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.