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Finding the Third Proportional to 149,886,736 and 346,966,218

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Solution

The third proportional to 149,886,736 and 346,966,218 is: 803,176,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,886,736 : 346,966,218 = 346,966,218 : x
  2. Step 2: Convert to fraction form
    149,886,736/346,966,218 = 346,966,218/x
  3. Step 3: Cross multiply
    149,886,736x = 346,966,218 × 346,966,218
  4. Step 4: Simplify right side
    149,886,736x = 120,385,556,433,223,520
  5. Step 5: Solve for x
    x = 120,385,556,433,223,520/149,886,736
  6. Step 6: Final answer
    x = 803,176,849.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.