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Finding the Third Proportional to 141,624,595,744 and 288,938,238,936

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Solution

The third proportional to 141,624,595,744 and 288,938,238,936 is: 589,483,101,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,624,595,744 : 288,938,238,936 = 288,938,238,936 : x
  2. Step 2: Convert to fraction form
    141,624,595,744/288,938,238,936 = 288,938,238,936/x
  3. Step 3: Cross multiply
    141,624,595,744x = 288,938,238,936 × 288,938,238,936
  4. Step 4: Simplify right side
    141,624,595,744x = 83,485,305,919,437,023,477,760
  5. Step 5: Solve for x
    x = 83,485,305,919,437,023,477,760/141,624,595,744
  6. Step 6: Final answer
    x = 589,483,101,299.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.