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Finding the Third Proportional to 195,807,224 and 293,710,836

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Solution

The third proportional to 195,807,224 and 293,710,836 is: 440,566,254

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,807,224 : 293,710,836 = 293,710,836 : x
  2. Step 2: Convert to fraction form
    195,807,224/293,710,836 = 293,710,836/x
  3. Step 3: Cross multiply
    195,807,224x = 293,710,836 × 293,710,836
  4. Step 4: Simplify right side
    195,807,224x = 86,266,055,183,818,896
  5. Step 5: Solve for x
    x = 86,266,055,183,818,896/195,807,224
  6. Step 6: Final answer
    x = 440,566,254

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.