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Finding the Third Proportional to 105,819,601.50 and 215,890,670.25

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Solution

The third proportional to 105,819,601.50 and 215,890,670.25 is: 440,455,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,819,601.50 : 215,890,670.25 = 215,890,670.25 : x
  2. Step 2: Convert to fraction form
    105,819,601.50/215,890,670.25 = 215,890,670.25/x
  3. Step 3: Cross multiply
    105,819,601.50x = 215,890,670.25 × 215,890,670.25
  4. Step 4: Simplify right side
    105,819,601.50x = 46,608,781,500,994,232
  5. Step 5: Solve for x
    x = 46,608,781,500,994,232/105,819,601.50
  6. Step 6: Final answer
    x = 440,455,084.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.