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Finding the Third Proportional to 176,503,838.50 and 384,788,299.50

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Solution

The third proportional to 176,503,838.50 and 384,788,299.50 is: 838,860,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,503,838.50 : 384,788,299.50 = 384,788,299.50 : x
  2. Step 2: Convert to fraction form
    176,503,838.50/384,788,299.50 = 384,788,299.50/x
  3. Step 3: Cross multiply
    176,503,838.50x = 384,788,299.50 × 384,788,299.50
  4. Step 4: Simplify right side
    176,503,838.50x = 148,062,035,432,101,696
  5. Step 5: Solve for x
    x = 148,062,035,432,101,696/176,503,838.50
  6. Step 6: Final answer
    x = 838,860,144.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.