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Finding the Third Proportional to 282,147,228 and 435,801,276

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Solution

The third proportional to 282,147,228 and 435,801,276 is: 673,133,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,147,228 : 435,801,276 = 435,801,276 : x
  2. Step 2: Convert to fraction form
    282,147,228/435,801,276 = 435,801,276/x
  3. Step 3: Cross multiply
    282,147,228x = 435,801,276 × 435,801,276
  4. Step 4: Simplify right side
    282,147,228x = 189,922,752,163,228,160
  5. Step 5: Solve for x
    x = 189,922,752,163,228,160/282,147,228
  6. Step 6: Final answer
    x = 673,133,503.77

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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.