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Finding the Third Proportional to 105,677,718.25 and 214,326,853.75

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Solution

The third proportional to 105,677,718.25 and 214,326,853.75 is: 434,680,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,677,718.25 : 214,326,853.75 = 214,326,853.75 : x
  2. Step 2: Convert to fraction form
    105,677,718.25/214,326,853.75 = 214,326,853.75/x
  3. Step 3: Cross multiply
    105,677,718.25x = 214,326,853.75 × 214,326,853.75
  4. Step 4: Simplify right side
    105,677,718.25x = 45,936,000,238,373,888
  5. Step 5: Solve for x
    x = 45,936,000,238,373,888/105,677,718.25
  6. Step 6: Final answer
    x = 434,680,091.50

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.