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Finding the Third Proportional to 51,020,907 and 108,853,302

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Solution

The third proportional to 51,020,907 and 108,853,302 is: 232,238,939.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,020,907 : 108,853,302 = 108,853,302 : x
  2. Step 2: Convert to fraction form
    51,020,907/108,853,302 = 108,853,302/x
  3. Step 3: Cross multiply
    51,020,907x = 108,853,302 × 108,853,302
  4. Step 4: Simplify right side
    51,020,907x = 11,849,041,356,303,204
  5. Step 5: Solve for x
    x = 11,849,041,356,303,204/51,020,907
  6. Step 6: Final answer
    x = 232,238,939.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.