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Finding the Third Proportional to 136,509,174 and 193,156,290

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Solution

The third proportional to 136,509,174 and 193,156,290 is: 273,310,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,509,174 : 193,156,290 = 193,156,290 : x
  2. Step 2: Convert to fraction form
    136,509,174/193,156,290 = 193,156,290/x
  3. Step 3: Cross multiply
    136,509,174x = 193,156,290 × 193,156,290
  4. Step 4: Simplify right side
    136,509,174x = 37,309,352,366,564,096
  5. Step 5: Solve for x
    x = 37,309,352,366,564,096/136,509,174
  6. Step 6: Final answer
    x = 273,310,219.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.