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Finding the Third Proportional to 248,303,996 and 585,321,464

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Solution

The third proportional to 248,303,996 and 585,321,464 is: 1,379,765,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,303,996 : 585,321,464 = 585,321,464 : x
  2. Step 2: Convert to fraction form
    248,303,996/585,321,464 = 585,321,464/x
  3. Step 3: Cross multiply
    248,303,996x = 585,321,464 × 585,321,464
  4. Step 4: Simplify right side
    248,303,996x = 342,601,216,219,103,296
  5. Step 5: Solve for x
    x = 342,601,216,219,103,296/248,303,996
  6. Step 6: Final answer
    x = 1,379,765,214.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.