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Finding the Third Proportional to 215,795,009 and 315,499,849.50

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Solution

The third proportional to 215,795,009 and 315,499,849.50 is: 461,271,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,795,009 : 315,499,849.50 = 315,499,849.50 : x
  2. Step 2: Convert to fraction form
    215,795,009/315,499,849.50 = 315,499,849.50/x
  3. Step 3: Cross multiply
    215,795,009x = 315,499,849.50 × 315,499,849.50
  4. Step 4: Simplify right side
    215,795,009x = 99,540,155,034,522,656
  5. Step 5: Solve for x
    x = 99,540,155,034,522,656/215,795,009
  6. Step 6: Final answer
    x = 461,271,812.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.