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Finding the Third Proportional to 241,970,208 and 530,969,664

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Solution

The third proportional to 241,970,208 and 530,969,664 is: 1,165,138,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,970,208 : 530,969,664 = 530,969,664 : x
  2. Step 2: Convert to fraction form
    241,970,208/530,969,664 = 530,969,664/x
  3. Step 3: Cross multiply
    241,970,208x = 530,969,664 × 530,969,664
  4. Step 4: Simplify right side
    241,970,208x = 281,928,784,088,272,896
  5. Step 5: Solve for x
    x = 281,928,784,088,272,896/241,970,208
  6. Step 6: Final answer
    x = 1,165,138,412.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.