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Finding the Third Proportional to 199,433,001 and 306,353,500.50

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Solution

The third proportional to 199,433,001 and 306,353,500.50 is: 470,596,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,433,001 : 306,353,500.50 = 306,353,500.50 : x
  2. Step 2: Convert to fraction form
    199,433,001/306,353,500.50 = 306,353,500.50/x
  3. Step 3: Cross multiply
    199,433,001x = 306,353,500.50 × 306,353,500.50
  4. Step 4: Simplify right side
    199,433,001x = 93,852,467,268,603,504
  5. Step 5: Solve for x
    x = 93,852,467,268,603,504/199,433,001
  6. Step 6: Final answer
    x = 470,596,475.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.