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Finding the Third Proportional to 210,199,937.63 and 491,121,916.88

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Solution

The third proportional to 210,199,937.63 and 491,121,916.88 is: 1,147,482,439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,199,937.63 : 491,121,916.88 = 491,121,916.88 : x
  2. Step 2: Convert to fraction form
    210,199,937.63/491,121,916.88 = 491,121,916.88/x
  3. Step 3: Cross multiply
    210,199,937.63x = 491,121,916.88 × 491,121,916.88
  4. Step 4: Simplify right side
    210,199,937.63x = 241,200,737,234,974,400
  5. Step 5: Solve for x
    x = 241,200,737,234,974,400/210,199,937.63
  6. Step 6: Final answer
    x = 1,147,482,439.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.