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Finding the Third Proportional to 293,579,923.50 and 466,405,665.75

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Solution

The third proportional to 293,579,923.50 and 466,405,665.75 is: 740,971,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,579,923.50 : 466,405,665.75 = 466,405,665.75 : x
  2. Step 2: Convert to fraction form
    293,579,923.50/466,405,665.75 = 466,405,665.75/x
  3. Step 3: Cross multiply
    293,579,923.50x = 466,405,665.75 × 466,405,665.75
  4. Step 4: Simplify right side
    293,579,923.50x = 217,534,245,043,700,736
  5. Step 5: Solve for x
    x = 217,534,245,043,700,736/293,579,923.50
  6. Step 6: Final answer
    x = 740,971,121.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.