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Finding the Third Proportional to 73,745,616 and 106,233,048

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Solution

The third proportional to 73,745,616 and 106,233,048 is: 153,032,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,745,616 : 106,233,048 = 106,233,048 : x
  2. Step 2: Convert to fraction form
    73,745,616/106,233,048 = 106,233,048/x
  3. Step 3: Cross multiply
    73,745,616x = 106,233,048 × 106,233,048
  4. Step 4: Simplify right side
    73,745,616x = 11,285,460,487,370,304
  5. Step 5: Solve for x
    x = 11,285,460,487,370,304/73,745,616
  6. Step 6: Final answer
    x = 153,032,289.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.