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Finding the Third Proportional to 216,336,228.89 and 440,317,913.63

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Solution

The third proportional to 216,336,228.89 and 440,317,913.63 is: 896,196,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,336,228.89 : 440,317,913.63 = 440,317,913.63 : x
  2. Step 2: Convert to fraction form
    216,336,228.89/440,317,913.63 = 440,317,913.63/x
  3. Step 3: Cross multiply
    216,336,228.89x = 440,317,913.63 × 440,317,913.63
  4. Step 4: Simplify right side
    216,336,228.89x = 193,879,865,059,072,960
  5. Step 5: Solve for x
    x = 193,879,865,059,072,960/216,336,228.89
  6. Step 6: Final answer
    x = 896,196,934.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.