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Finding the Third Proportional to 66,787,155 and 102,167,029

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Solution

The third proportional to 66,787,155 and 102,167,029 is: 156,289,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,787,155 : 102,167,029 = 102,167,029 : x
  2. Step 2: Convert to fraction form
    66,787,155/102,167,029 = 102,167,029/x
  3. Step 3: Cross multiply
    66,787,155x = 102,167,029 × 102,167,029
  4. Step 4: Simplify right side
    66,787,155x = 10,438,101,814,686,840
  5. Step 5: Solve for x
    x = 10,438,101,814,686,840/66,787,155
  6. Step 6: Final answer
    x = 156,289,062.09

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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.