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Finding the Third Proportional to 201,350,084 and 310,926,596

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Solution

The third proportional to 201,350,084 and 310,926,596 is: 480,135,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,350,084 : 310,926,596 = 310,926,596 : x
  2. Step 2: Convert to fraction form
    201,350,084/310,926,596 = 310,926,596/x
  3. Step 3: Cross multiply
    201,350,084x = 310,926,596 × 310,926,596
  4. Step 4: Simplify right side
    201,350,084x = 96,675,348,100,147,216
  5. Step 5: Solve for x
    x = 96,675,348,100,147,216/201,350,084
  6. Step 6: Final answer
    x = 480,135,623.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.