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Finding the Third Proportional to 159,014,400.75 and 336,362,604.75

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Solution

The third proportional to 159,014,400.75 and 336,362,604.75 is: 711,506,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,014,400.75 : 336,362,604.75 = 336,362,604.75 : x
  2. Step 2: Convert to fraction form
    159,014,400.75/336,362,604.75 = 336,362,604.75/x
  3. Step 3: Cross multiply
    159,014,400.75x = 336,362,604.75 × 336,362,604.75
  4. Step 4: Simplify right side
    159,014,400.75x = 113,139,801,874,204,720
  5. Step 5: Solve for x
    x = 113,139,801,874,204,720/159,014,400.75
  6. Step 6: Final answer
    x = 711,506,639.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.