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Finding the Third Proportional to 238,258,634,508 and 510,507,991,204

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Solution

The third proportional to 238,258,634,508 and 510,507,991,204 is: 1,093,846,649,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,258,634,508 : 510,507,991,204 = 510,507,991,204 : x
  2. Step 2: Convert to fraction form
    238,258,634,508/510,507,991,204 = 510,507,991,204/x
  3. Step 3: Cross multiply
    238,258,634,508x = 510,507,991,204 × 510,507,991,204
  4. Step 4: Simplify right side
    238,258,634,508x = 260,618,409,083,143,335,182,336
  5. Step 5: Solve for x
    x = 260,618,409,083,143,335,182,336/238,258,634,508
  6. Step 6: Final answer
    x = 1,093,846,649,550.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.