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Finding the Third Proportional to 69,464,016 and 102,114,828

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Solution

The third proportional to 69,464,016 and 102,114,828 is: 150,112,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,464,016 : 102,114,828 = 102,114,828 : x
  2. Step 2: Convert to fraction form
    69,464,016/102,114,828 = 102,114,828/x
  3. Step 3: Cross multiply
    69,464,016x = 102,114,828 × 102,114,828
  4. Step 4: Simplify right side
    69,464,016x = 10,427,438,097,469,584
  5. Step 5: Solve for x
    x = 10,427,438,097,469,584/69,464,016
  6. Step 6: Final answer
    x = 150,112,802.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.