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Finding the Third Proportional to 66,800,863 and 103,433,679

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Solution

The third proportional to 66,800,863 and 103,433,679 is: 160,155,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,800,863 : 103,433,679 = 103,433,679 : x
  2. Step 2: Convert to fraction form
    66,800,863/103,433,679 = 103,433,679/x
  3. Step 3: Cross multiply
    66,800,863x = 103,433,679 × 103,433,679
  4. Step 4: Simplify right side
    66,800,863x = 10,698,525,951,475,040
  5. Step 5: Solve for x
    x = 10,698,525,951,475,040/66,800,863
  6. Step 6: Final answer
    x = 160,155,505.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.