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Finding the Third Proportional to 148,269,447.75 and 308,810,901.75

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Solution

The third proportional to 148,269,447.75 and 308,810,901.75 is: 643,181,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,269,447.75 : 308,810,901.75 = 308,810,901.75 : x
  2. Step 2: Convert to fraction form
    148,269,447.75/308,810,901.75 = 308,810,901.75/x
  3. Step 3: Cross multiply
    148,269,447.75x = 308,810,901.75 × 308,810,901.75
  4. Step 4: Simplify right side
    148,269,447.75x = 95,364,173,039,648,160
  5. Step 5: Solve for x
    x = 95,364,173,039,648,160/148,269,447.75
  6. Step 6: Final answer
    x = 643,181,548.77

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.