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Finding the Third Proportional to 155,702,743.59 and 219,015,186.19

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Solution

The third proportional to 155,702,743.59 and 219,015,186.19 is: 308,071,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,702,743.59 : 219,015,186.19 = 219,015,186.19 : x
  2. Step 2: Convert to fraction form
    155,702,743.59/219,015,186.19 = 219,015,186.19/x
  3. Step 3: Cross multiply
    155,702,743.59x = 219,015,186.19 × 219,015,186.19
  4. Step 4: Simplify right side
    155,702,743.59x = 47,967,651,780,745,288
  5. Step 5: Solve for x
    x = 47,967,651,780,745,288/155,702,743.59
  6. Step 6: Final answer
    x = 308,071,975.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.