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Finding the Third Proportional to 107,063,179,733 and 161,974,002,235

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Solution

The third proportional to 107,063,179,733 and 161,974,002,235 is: 245,047,620,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,063,179,733 : 161,974,002,235 = 161,974,002,235 : x
  2. Step 2: Convert to fraction form
    107,063,179,733/161,974,002,235 = 161,974,002,235/x
  3. Step 3: Cross multiply
    107,063,179,733x = 161,974,002,235 × 161,974,002,235
  4. Step 4: Simplify right side
    107,063,179,733x = 26,235,577,400,023,784,095,744
  5. Step 5: Solve for x
    x = 26,235,577,400,023,784,095,744/107,063,179,733
  6. Step 6: Final answer
    x = 245,047,620,157.10

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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.