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Finding the Third Proportional to 105,801,728 and 229,259,348

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Solution

The third proportional to 105,801,728 and 229,259,348 is: 496,776,845.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,801,728 : 229,259,348 = 229,259,348 : x
  2. Step 2: Convert to fraction form
    105,801,728/229,259,348 = 229,259,348/x
  3. Step 3: Cross multiply
    105,801,728x = 229,259,348 × 229,259,348
  4. Step 4: Simplify right side
    105,801,728x = 52,559,848,645,385,104
  5. Step 5: Solve for x
    x = 52,559,848,645,385,104/105,801,728
  6. Step 6: Final answer
    x = 496,776,845.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.