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Finding the Third Proportional to 178,724,252 and 385,677,328

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Solution

The third proportional to 178,724,252 and 385,677,328 is: 832,270,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,724,252 : 385,677,328 = 385,677,328 : x
  2. Step 2: Convert to fraction form
    178,724,252/385,677,328 = 385,677,328/x
  3. Step 3: Cross multiply
    178,724,252x = 385,677,328 × 385,677,328
  4. Step 4: Simplify right side
    178,724,252x = 148,747,001,333,219,584
  5. Step 5: Solve for x
    x = 148,747,001,333,219,584/178,724,252
  6. Step 6: Final answer
    x = 832,270,940.67

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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.