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Finding the Third Proportional to 50,609,153,747 and 105,407,196,396

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Solution

The third proportional to 50,609,153,747 and 105,407,196,396 is: 219,538,882,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,609,153,747 : 105,407,196,396 = 105,407,196,396 : x
  2. Step 2: Convert to fraction form
    50,609,153,747/105,407,196,396 = 105,407,196,396/x
  3. Step 3: Cross multiply
    50,609,153,747x = 105,407,196,396 × 105,407,196,396
  4. Step 4: Simplify right side
    50,609,153,747x = 11,110,677,052,064,916,307,968
  5. Step 5: Solve for x
    x = 11,110,677,052,064,916,307,968/50,609,153,747
  6. Step 6: Final answer
    x = 219,538,882,384.96

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Why These Related Problems?

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