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Finding the Third Proportional to 144,224,180 and 293,545,330

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Solution

The third proportional to 144,224,180 and 293,545,330 is: 597,464,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,224,180 : 293,545,330 = 293,545,330 : x
  2. Step 2: Convert to fraction form
    144,224,180/293,545,330 = 293,545,330/x
  3. Step 3: Cross multiply
    144,224,180x = 293,545,330 × 293,545,330
  4. Step 4: Simplify right side
    144,224,180x = 86,168,860,764,808,896
  5. Step 5: Solve for x
    x = 86,168,860,764,808,896/144,224,180
  6. Step 6: Final answer
    x = 597,464,730.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.