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Finding the Third Proportional to 68,043,872 and 149,314,752

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Solution

The third proportional to 68,043,872 and 149,314,752 is: 327,654,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,043,872 : 149,314,752 = 149,314,752 : x
  2. Step 2: Convert to fraction form
    68,043,872/149,314,752 = 149,314,752/x
  3. Step 3: Cross multiply
    68,043,872x = 149,314,752 × 149,314,752
  4. Step 4: Simplify right side
    68,043,872x = 22,294,895,164,821,504
  5. Step 5: Solve for x
    x = 22,294,895,164,821,504/68,043,872
  6. Step 6: Final answer
    x = 327,654,710.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.