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Finding the Third Proportional to 176,503,842.50 and 384,788,307

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Solution

The third proportional to 176,503,842.50 and 384,788,307 is: 838,860,157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,503,842.50 : 384,788,307 = 384,788,307 : x
  2. Step 2: Convert to fraction form
    176,503,842.50/384,788,307 = 384,788,307/x
  3. Step 3: Cross multiply
    176,503,842.50x = 384,788,307 × 384,788,307
  4. Step 4: Simplify right side
    176,503,842.50x = 148,062,041,203,926,240
  5. Step 5: Solve for x
    x = 148,062,041,203,926,240/176,503,842.50
  6. Step 6: Final answer
    x = 838,860,157.98

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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.