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Finding the Third Proportional to 49,428,576 and 102,294,144

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Solution

The third proportional to 49,428,576 and 102,294,144 is: 211,701,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,428,576 : 102,294,144 = 102,294,144 : x
  2. Step 2: Convert to fraction form
    49,428,576/102,294,144 = 102,294,144/x
  3. Step 3: Cross multiply
    49,428,576x = 102,294,144 × 102,294,144
  4. Step 4: Simplify right side
    49,428,576x = 10,464,091,896,692,736
  5. Step 5: Solve for x
    x = 10,464,091,896,692,736/49,428,576
  6. Step 6: Final answer
    x = 211,701,261.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.