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Finding the Third Proportional to 159,851,091 and 349,597,014

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Solution

The third proportional to 159,851,091 and 349,597,014 is: 764,574,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,851,091 : 349,597,014 = 349,597,014 : x
  2. Step 2: Convert to fraction form
    159,851,091/349,597,014 = 349,597,014/x
  3. Step 3: Cross multiply
    159,851,091x = 349,597,014 × 349,597,014
  4. Step 4: Simplify right side
    159,851,091x = 122,218,072,197,716,192
  5. Step 5: Solve for x
    x = 122,218,072,197,716,192/159,851,091
  6. Step 6: Final answer
    x = 764,574,526.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.