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Finding the Third Proportional to 201,397,834 and 310,993,476

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Solution

The third proportional to 201,397,834 and 310,993,476 is: 480,228,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,834 : 310,993,476 = 310,993,476 : x
  2. Step 2: Convert to fraction form
    201,397,834/310,993,476 = 310,993,476/x
  3. Step 3: Cross multiply
    201,397,834x = 310,993,476 × 310,993,476
  4. Step 4: Simplify right side
    201,397,834x = 96,716,942,114,562,576
  5. Step 5: Solve for x
    x = 96,716,942,114,562,576/201,397,834
  6. Step 6: Final answer
    x = 480,228,313.25

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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.