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Finding the Third Proportional to 144,224,169.75 and 293,545,311.75

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Solution

The third proportional to 144,224,169.75 and 293,545,311.75 is: 597,464,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,224,169.75 : 293,545,311.75 = 293,545,311.75 : x
  2. Step 2: Convert to fraction form
    144,224,169.75/293,545,311.75 = 293,545,311.75/x
  3. Step 3: Cross multiply
    144,224,169.75x = 293,545,311.75 × 293,545,311.75
  4. Step 4: Simplify right side
    144,224,169.75x = 86,168,850,050,404,688
  5. Step 5: Solve for x
    x = 86,168,850,050,404,688/144,224,169.75
  6. Step 6: Final answer
    x = 597,464,698.18

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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.