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Finding the Third Proportional to 49,313,342 and 106,523,968

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Solution

The third proportional to 49,313,342 and 106,523,968 is: 230,107,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,313,342 : 106,523,968 = 106,523,968 : x
  2. Step 2: Convert to fraction form
    49,313,342/106,523,968 = 106,523,968/x
  3. Step 3: Cross multiply
    49,313,342x = 106,523,968 × 106,523,968
  4. Step 4: Simplify right side
    49,313,342x = 11,347,355,758,465,024
  5. Step 5: Solve for x
    x = 11,347,355,758,465,024/49,313,342
  6. Step 6: Final answer
    x = 230,107,214.36

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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.