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Finding the Third Proportional to 199,433,004 and 306,353,505

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Solution

The third proportional to 199,433,004 and 306,353,505 is: 470,596,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,433,004 : 306,353,505 = 306,353,505 : x
  2. Step 2: Convert to fraction form
    199,433,004/306,353,505 = 306,353,505/x
  3. Step 3: Cross multiply
    199,433,004x = 306,353,505 × 306,353,505
  4. Step 4: Simplify right side
    199,433,004x = 93,852,470,025,785,024
  5. Step 5: Solve for x
    x = 93,852,470,025,785,024/199,433,004
  6. Step 6: Final answer
    x = 470,596,481.74

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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.