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Finding the Third Proportional to 103,018,983,977 and 155,507,899,859

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Solution

The third proportional to 103,018,983,977 and 155,507,899,859 is: 234,740,297,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,018,983,977 : 155,507,899,859 = 155,507,899,859 : x
  2. Step 2: Convert to fraction form
    103,018,983,977/155,507,899,859 = 155,507,899,859/x
  3. Step 3: Cross multiply
    103,018,983,977x = 155,507,899,859 × 155,507,899,859
  4. Step 4: Simplify right side
    103,018,983,977x = 24,182,706,918,556,774,170,624
  5. Step 5: Solve for x
    x = 24,182,706,918,556,774,170,624/103,018,983,977
  6. Step 6: Final answer
    x = 234,740,297,224.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.