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Finding the Third Proportional to 123,308,003 and 265,216,441

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Solution

The third proportional to 123,308,003 and 265,216,441 is: 570,439,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,308,003 : 265,216,441 = 265,216,441 : x
  2. Step 2: Convert to fraction form
    123,308,003/265,216,441 = 265,216,441/x
  3. Step 3: Cross multiply
    123,308,003x = 265,216,441 × 265,216,441
  4. Step 4: Simplify right side
    123,308,003x = 70,339,760,576,706,480
  5. Step 5: Solve for x
    x = 70,339,760,576,706,480/123,308,003
  6. Step 6: Final answer
    x = 570,439,540.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.