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Finding the Third Proportional to 201,397,846 and 310,993,492

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Solution

The third proportional to 201,397,846 and 310,993,492 is: 480,228,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,846 : 310,993,492 = 310,993,492 : x
  2. Step 2: Convert to fraction form
    201,397,846/310,993,492 = 310,993,492/x
  3. Step 3: Cross multiply
    201,397,846x = 310,993,492 × 310,993,492
  4. Step 4: Simplify right side
    201,397,846x = 96,716,952,066,354,064
  5. Step 5: Solve for x
    x = 96,716,952,066,354,064/201,397,846
  6. Step 6: Final answer
    x = 480,228,334.05

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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.