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Finding the Third Proportional to 51,098,696 and 108,886,696

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Solution

The third proportional to 51,098,696 and 108,886,696 is: 232,027,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,098,696 : 108,886,696 = 108,886,696 : x
  2. Step 2: Convert to fraction form
    51,098,696/108,886,696 = 108,886,696/x
  3. Step 3: Cross multiply
    51,098,696x = 108,886,696 × 108,886,696
  4. Step 4: Simplify right side
    51,098,696x = 11,856,312,565,796,416
  5. Step 5: Solve for x
    x = 11,856,312,565,796,416/51,098,696
  6. Step 6: Final answer
    x = 232,027,693.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.