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Finding the Third Proportional to 66,787,106 and 102,166,950

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Solution

The third proportional to 66,787,106 and 102,166,950 is: 156,288,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,787,106 : 102,166,950 = 102,166,950 : x
  2. Step 2: Convert to fraction form
    66,787,106/102,166,950 = 102,166,950/x
  3. Step 3: Cross multiply
    66,787,106x = 102,166,950 × 102,166,950
  4. Step 4: Simplify right side
    66,787,106x = 10,438,085,672,302,500
  5. Step 5: Solve for x
    x = 10,438,085,672,302,500/66,787,106
  6. Step 6: Final answer
    x = 156,288,935.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.