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Finding the Third Proportional to 48,000,500 and 105,118,696

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Solution

The third proportional to 48,000,500 and 105,118,696 is: 230,204,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,000,500 : 105,118,696 = 105,118,696 : x
  2. Step 2: Convert to fraction form
    48,000,500/105,118,696 = 105,118,696/x
  3. Step 3: Cross multiply
    48,000,500x = 105,118,696 × 105,118,696
  4. Step 4: Simplify right side
    48,000,500x = 11,049,940,248,740,416
  5. Step 5: Solve for x
    x = 11,049,940,248,740,416/48,000,500
  6. Step 6: Final answer
    x = 230,204,690.55

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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.