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Finding the Third Proportional to 319,861,113 and 491,431,248

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Solution

The third proportional to 319,861,113 and 491,431,248 is: 755,029,797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,861,113 : 491,431,248 = 491,431,248 : x
  2. Step 2: Convert to fraction form
    319,861,113/491,431,248 = 491,431,248/x
  3. Step 3: Cross multiply
    319,861,113x = 491,431,248 × 491,431,248
  4. Step 4: Simplify right side
    319,861,113x = 241,504,671,510,837,504
  5. Step 5: Solve for x
    x = 241,504,671,510,837,504/319,861,113
  6. Step 6: Final answer
    x = 755,029,797.92

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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.