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Finding the Third Proportional to 201,397,548 and 310,993,049

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Solution

The third proportional to 201,397,548 and 310,993,049 is: 480,227,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,548 : 310,993,049 = 310,993,049 : x
  2. Step 2: Convert to fraction form
    201,397,548/310,993,049 = 310,993,049/x
  3. Step 3: Cross multiply
    201,397,548x = 310,993,049 × 310,993,049
  4. Step 4: Simplify right side
    201,397,548x = 96,716,676,526,316,400
  5. Step 5: Solve for x
    x = 96,716,676,526,316,400/201,397,548
  6. Step 6: Final answer
    x = 480,227,676.49

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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.