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Finding the Third Proportional to 154,253,366.75 and 333,666,450.75

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Solution

The third proportional to 154,253,366.75 and 333,666,450.75 is: 721,756,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,253,366.75 : 333,666,450.75 = 333,666,450.75 : x
  2. Step 2: Convert to fraction form
    154,253,366.75/333,666,450.75 = 333,666,450.75/x
  3. Step 3: Cross multiply
    154,253,366.75x = 333,666,450.75 × 333,666,450.75
  4. Step 4: Simplify right side
    154,253,366.75x = 111,333,300,356,102,176
  5. Step 5: Solve for x
    x = 111,333,300,356,102,176/154,253,366.75
  6. Step 6: Final answer
    x = 721,756,047.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.