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Finding the Third Proportional to 153,493,073 and 236,168,036

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Solution

The third proportional to 153,493,073 and 236,168,036 is: 363,373,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,493,073 : 236,168,036 = 236,168,036 : x
  2. Step 2: Convert to fraction form
    153,493,073/236,168,036 = 236,168,036/x
  3. Step 3: Cross multiply
    153,493,073x = 236,168,036 × 236,168,036
  4. Step 4: Simplify right side
    153,493,073x = 55,775,341,228,097,296
  5. Step 5: Solve for x
    x = 55,775,341,228,097,296/153,493,073
  6. Step 6: Final answer
    x = 363,373,669.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.