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Finding the Third Proportional to 194,408,106 and 273,459,087

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Solution

The third proportional to 194,408,106 and 273,459,087 is: 384,654,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,408,106 : 273,459,087 = 273,459,087 : x
  2. Step 2: Convert to fraction form
    194,408,106/273,459,087 = 273,459,087/x
  3. Step 3: Cross multiply
    194,408,106x = 273,459,087 × 273,459,087
  4. Step 4: Simplify right side
    194,408,106x = 74,779,872,262,873,568
  5. Step 5: Solve for x
    x = 74,779,872,262,873,568/194,408,106
  6. Step 6: Final answer
    x = 384,654,085.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.