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Finding the Third Proportional to 199,050,748,512 and 438,674,379,858

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Solution

The third proportional to 199,050,748,512 and 438,674,379,858 is: 966,764,571,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,050,748,512 : 438,674,379,858 = 438,674,379,858 : x
  2. Step 2: Convert to fraction form
    199,050,748,512/438,674,379,858 = 438,674,379,858/x
  3. Step 3: Cross multiply
    199,050,748,512x = 438,674,379,858 × 438,674,379,858
  4. Step 4: Simplify right side
    199,050,748,512x = 192,435,211,543,800,866,406,400
  5. Step 5: Solve for x
    x = 192,435,211,543,800,866,406,400/199,050,748,512
  6. Step 6: Final answer
    x = 966,764,571,258.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.