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Finding the Third Proportional to 178,724,251 and 385,677,326

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Solution

The third proportional to 178,724,251 and 385,677,326 is: 832,270,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,724,251 : 385,677,326 = 385,677,326 : x
  2. Step 2: Convert to fraction form
    178,724,251/385,677,326 = 385,677,326/x
  3. Step 3: Cross multiply
    178,724,251x = 385,677,326 × 385,677,326
  4. Step 4: Simplify right side
    178,724,251x = 148,746,999,790,510,272
  5. Step 5: Solve for x
    x = 148,746,999,790,510,272/178,724,251
  6. Step 6: Final answer
    x = 832,270,936.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.