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Finding the Third Proportional to 106,793,688 and 160,474,869

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Solution

The third proportional to 106,793,688 and 160,474,869 is: 241,139,566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,793,688 : 160,474,869 = 160,474,869 : x
  2. Step 2: Convert to fraction form
    106,793,688/160,474,869 = 160,474,869/x
  3. Step 3: Cross multiply
    106,793,688x = 160,474,869 × 160,474,869
  4. Step 4: Simplify right side
    106,793,688x = 25,752,183,580,567,160
  5. Step 5: Solve for x
    x = 25,752,183,580,567,160/106,793,688
  6. Step 6: Final answer
    x = 241,139,566.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.