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Finding the Third Proportional to 50,842,136 and 111,191,162

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Solution

The third proportional to 50,842,136 and 111,191,162 is: 243,173,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,842,136 : 111,191,162 = 111,191,162 : x
  2. Step 2: Convert to fraction form
    50,842,136/111,191,162 = 111,191,162/x
  3. Step 3: Cross multiply
    50,842,136x = 111,191,162 × 111,191,162
  4. Step 4: Simplify right side
    50,842,136x = 12,363,474,506,910,244
  5. Step 5: Solve for x
    x = 12,363,474,506,910,244/50,842,136
  6. Step 6: Final answer
    x = 243,173,782.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.