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Finding the Third Proportional to 238,061,724 and 367,707,328.50

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Solution

The third proportional to 238,061,724 and 367,707,328.50 is: 567,956,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,061,724 : 367,707,328.50 = 367,707,328.50 : x
  2. Step 2: Convert to fraction form
    238,061,724/367,707,328.50 = 367,707,328.50/x
  3. Step 3: Cross multiply
    238,061,724x = 367,707,328.50 × 367,707,328.50
  4. Step 4: Simplify right side
    238,061,724x = 135,208,679,432,606,912
  5. Step 5: Solve for x
    x = 135,208,679,432,606,912/238,061,724
  6. Step 6: Final answer
    x = 567,956,398.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.