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Finding the Third Proportional to 84,135,885 and 129,243,021

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Solution

The third proportional to 84,135,885 and 129,243,021 is: 198,533,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,135,885 : 129,243,021 = 129,243,021 : x
  2. Step 2: Convert to fraction form
    84,135,885/129,243,021 = 129,243,021/x
  3. Step 3: Cross multiply
    84,135,885x = 129,243,021 × 129,243,021
  4. Step 4: Simplify right side
    84,135,885x = 16,703,758,477,206,440
  5. Step 5: Solve for x
    x = 16,703,758,477,206,440/84,135,885
  6. Step 6: Final answer
    x = 198,533,104.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.