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Finding the Third Proportional to 85,241,408 and 184,123,056

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Solution

The third proportional to 85,241,408 and 184,123,056 is: 397,709,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,241,408 : 184,123,056 = 184,123,056 : x
  2. Step 2: Convert to fraction form
    85,241,408/184,123,056 = 184,123,056/x
  3. Step 3: Cross multiply
    85,241,408x = 184,123,056 × 184,123,056
  4. Step 4: Simplify right side
    85,241,408x = 33,901,299,750,779,136
  5. Step 5: Solve for x
    x = 33,901,299,750,779,136/85,241,408
  6. Step 6: Final answer
    x = 397,709,288.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.