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Finding the Third Proportional to 141,141,592 and 303,908,880

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Solution

The third proportional to 141,141,592 and 303,908,880 is: 654,382,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,141,592 : 303,908,880 = 303,908,880 : x
  2. Step 2: Convert to fraction form
    141,141,592/303,908,880 = 303,908,880/x
  3. Step 3: Cross multiply
    141,141,592x = 303,908,880 × 303,908,880
  4. Step 4: Simplify right side
    141,141,592x = 92,360,607,342,854,400
  5. Step 5: Solve for x
    x = 92,360,607,342,854,400/141,141,592
  6. Step 6: Final answer
    x = 654,382,638.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.