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Finding the Third Proportional to 73,176,600 and 144,502,512

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Solution

The third proportional to 73,176,600 and 144,502,512 is: 285,350,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176,600 : 144,502,512 = 144,502,512 : x
  2. Step 2: Convert to fraction form
    73,176,600/144,502,512 = 144,502,512/x
  3. Step 3: Cross multiply
    73,176,600x = 144,502,512 × 144,502,512
  4. Step 4: Simplify right side
    73,176,600x = 20,880,975,974,310,144
  5. Step 5: Solve for x
    x = 20,880,975,974,310,144/73,176,600
  6. Step 6: Final answer
    x = 285,350,453.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.