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Finding the Third Proportional to 152,924,625 and 226,518,916.50

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Solution

The third proportional to 152,924,625 and 226,518,916.50 is: 335,530,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,924,625 : 226,518,916.50 = 226,518,916.50 : x
  2. Step 2: Convert to fraction form
    152,924,625/226,518,916.50 = 226,518,916.50/x
  3. Step 3: Cross multiply
    152,924,625x = 226,518,916.50 × 226,518,916.50
  4. Step 4: Simplify right side
    152,924,625x = 51,310,819,532,333,976
  5. Step 5: Solve for x
    x = 51,310,819,532,333,976/152,924,625
  6. Step 6: Final answer
    x = 335,530,131.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.