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Finding the Third Proportional to 49,916,833 and 109,020,101

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Solution

The third proportional to 49,916,833 and 109,020,101 is: 238,103,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,916,833 : 109,020,101 = 109,020,101 : x
  2. Step 2: Convert to fraction form
    49,916,833/109,020,101 = 109,020,101/x
  3. Step 3: Cross multiply
    49,916,833x = 109,020,101 × 109,020,101
  4. Step 4: Simplify right side
    49,916,833x = 11,885,382,422,050,200
  5. Step 5: Solve for x
    x = 11,885,382,422,050,200/49,916,833
  6. Step 6: Final answer
    x = 238,103,695.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.