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Finding the Third Proportional to 50,609,148,576 and 105,407,186,588

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Solution

The third proportional to 50,609,148,576 and 105,407,186,588 is: 219,538,863,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,609,148,576 : 105,407,186,588 = 105,407,186,588 : x
  2. Step 2: Convert to fraction form
    50,609,148,576/105,407,186,588 = 105,407,186,588/x
  3. Step 3: Cross multiply
    50,609,148,576x = 105,407,186,588 × 105,407,186,588
  4. Step 4: Simplify right side
    50,609,148,576x = 11,110,674,984,397,447,364,608
  5. Step 5: Solve for x
    x = 11,110,674,984,397,447,364,608/50,609,148,576
  6. Step 6: Final answer
    x = 219,538,863,960.78

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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.