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Finding the Third Proportional to 49,583,700 and 107,134,641

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Solution

The third proportional to 49,583,700 and 107,134,641 is: 231,483,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,583,700 : 107,134,641 = 107,134,641 : x
  2. Step 2: Convert to fraction form
    49,583,700/107,134,641 = 107,134,641/x
  3. Step 3: Cross multiply
    49,583,700x = 107,134,641 × 107,134,641
  4. Step 4: Simplify right side
    49,583,700x = 11,477,831,302,198,880
  5. Step 5: Solve for x
    x = 11,477,831,302,198,880/49,583,700
  6. Step 6: Final answer
    x = 231,483,961.51

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Why These Related Problems?

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