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Finding the Third Proportional to 160,409,458.69 and 338,054,423.91

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Solution

The third proportional to 160,409,458.69 and 338,054,423.91 is: 712,431,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,409,458.69 : 338,054,423.91 = 338,054,423.91 : x
  2. Step 2: Convert to fraction form
    160,409,458.69/338,054,423.91 = 338,054,423.91/x
  3. Step 3: Cross multiply
    160,409,458.69x = 338,054,423.91 × 338,054,423.91
  4. Step 4: Simplify right side
    160,409,458.69x = 114,280,793,522,586,576
  5. Step 5: Solve for x
    x = 114,280,793,522,586,576/160,409,458.69
  6. Step 6: Final answer
    x = 712,431,763.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.