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Finding the Third Proportional to 303,618,178.25 and 466,475,773.75

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Solution

The third proportional to 303,618,178.25 and 466,475,773.75 is: 716,688,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,618,178.25 : 466,475,773.75 = 466,475,773.75 : x
  2. Step 2: Convert to fraction form
    303,618,178.25/466,475,773.75 = 466,475,773.75/x
  3. Step 3: Cross multiply
    303,618,178.25x = 466,475,773.75 × 466,475,773.75
  4. Step 4: Simplify right side
    303,618,178.25x = 217,599,647,495,661,184
  5. Step 5: Solve for x
    x = 217,599,647,495,661,184/303,618,178.25
  6. Step 6: Final answer
    x = 716,688,469.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.