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Finding the Third Proportional to 238,051,428 and 367,684,659

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Solution

The third proportional to 238,051,428 and 367,684,659 is: 567,910,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,051,428 : 367,684,659 = 367,684,659 : x
  2. Step 2: Convert to fraction form
    238,051,428/367,684,659 = 367,684,659/x
  3. Step 3: Cross multiply
    238,051,428x = 367,684,659 × 367,684,659
  4. Step 4: Simplify right side
    238,051,428x = 135,192,008,463,946,288
  5. Step 5: Solve for x
    x = 135,192,008,463,946,288/238,051,428
  6. Step 6: Final answer
    x = 567,910,932.52

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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.