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Finding the Third Proportional to 330,030,184.50 and 699,401,097

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Solution

The third proportional to 330,030,184.50 and 699,401,097 is: 1,482,173,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,030,184.50 : 699,401,097 = 699,401,097 : x
  2. Step 2: Convert to fraction form
    330,030,184.50/699,401,097 = 699,401,097/x
  3. Step 3: Cross multiply
    330,030,184.50x = 699,401,097 × 699,401,097
  4. Step 4: Simplify right side
    330,030,184.50x = 489,161,894,484,803,392
  5. Step 5: Solve for x
    x = 489,161,894,484,803,392/330,030,184.50
  6. Step 6: Final answer
    x = 1,482,173,199.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.