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Finding the Third Proportional to 143,748,664 and 234,703,821

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Solution

The third proportional to 143,748,664 and 234,703,821 is: 383,209,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,748,664 : 234,703,821 = 234,703,821 : x
  2. Step 2: Convert to fraction form
    143,748,664/234,703,821 = 234,703,821/x
  3. Step 3: Cross multiply
    143,748,664x = 234,703,821 × 234,703,821
  4. Step 4: Simplify right side
    143,748,664x = 55,085,883,592,000,040
  5. Step 5: Solve for x
    x = 55,085,883,592,000,040/143,748,664
  6. Step 6: Final answer
    x = 383,209,708.24

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.