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Finding the Third Proportional to 144,377,952.75 and 311,770,851.75

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Solution

The third proportional to 144,377,952.75 and 311,770,851.75 is: 673,240,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,377,952.75 : 311,770,851.75 = 311,770,851.75 : x
  2. Step 2: Convert to fraction form
    144,377,952.75/311,770,851.75 = 311,770,851.75/x
  3. Step 3: Cross multiply
    144,377,952.75x = 311,770,851.75 × 311,770,851.75
  4. Step 4: Simplify right side
    144,377,952.75x = 97,201,064,000,920,480
  5. Step 5: Solve for x
    x = 97,201,064,000,920,480/144,377,952.75
  6. Step 6: Final answer
    x = 673,240,353.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.