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Finding the Third Proportional to 201,397,551 and 310,993,055

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Solution

The third proportional to 201,397,551 and 310,993,055 is: 480,227,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,551 : 310,993,055 = 310,993,055 : x
  2. Step 2: Convert to fraction form
    201,397,551/310,993,055 = 310,993,055/x
  3. Step 3: Cross multiply
    201,397,551x = 310,993,055 × 310,993,055
  4. Step 4: Simplify right side
    201,397,551x = 96,716,680,258,233,024
  5. Step 5: Solve for x
    x = 96,716,680,258,233,024/201,397,551
  6. Step 6: Final answer
    x = 480,227,687.86

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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.