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Finding the Third Proportional to 303,246,441 and 433,346,187.75

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Solution

The third proportional to 303,246,441 and 433,346,187.75 is: 619,261,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,246,441 : 433,346,187.75 = 433,346,187.75 : x
  2. Step 2: Convert to fraction form
    303,246,441/433,346,187.75 = 433,346,187.75/x
  3. Step 3: Cross multiply
    303,246,441x = 433,346,187.75 × 433,346,187.75
  4. Step 4: Simplify right side
    303,246,441x = 187,788,918,437,458,240
  5. Step 5: Solve for x
    x = 187,788,918,437,458,240/303,246,441
  6. Step 6: Final answer
    x = 619,261,739.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.