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Finding the Third Proportional to 84,631,400 and 116,941,369

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Solution

The third proportional to 84,631,400 and 116,941,369 is: 161,586,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,631,400 : 116,941,369 = 116,941,369 : x
  2. Step 2: Convert to fraction form
    84,631,400/116,941,369 = 116,941,369/x
  3. Step 3: Cross multiply
    84,631,400x = 116,941,369 × 116,941,369
  4. Step 4: Simplify right side
    84,631,400x = 13,675,283,783,594,160
  5. Step 5: Solve for x
    x = 13,675,283,783,594,160/84,631,400
  6. Step 6: Final answer
    x = 161,586,406.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.