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Finding the Third Proportional to 193,727,949 and 298,174,477.50

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Solution

The third proportional to 193,727,949 and 298,174,477.50 is: 458,932,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,727,949 : 298,174,477.50 = 298,174,477.50 : x
  2. Step 2: Convert to fraction form
    193,727,949/298,174,477.50 = 298,174,477.50/x
  3. Step 3: Cross multiply
    193,727,949x = 298,174,477.50 × 298,174,477.50
  4. Step 4: Simplify right side
    193,727,949x = 88,908,019,032,398,000
  5. Step 5: Solve for x
    x = 88,908,019,032,398,000/193,727,949
  6. Step 6: Final answer
    x = 458,932,330.06

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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.