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Finding the Third Proportional to 103,318,688 and 226,789,696

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Solution

The third proportional to 103,318,688 and 226,789,696 is: 497,814,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,318,688 : 226,789,696 = 226,789,696 : x
  2. Step 2: Convert to fraction form
    103,318,688/226,789,696 = 226,789,696/x
  3. Step 3: Cross multiply
    103,318,688x = 226,789,696 × 226,789,696
  4. Step 4: Simplify right side
    103,318,688x = 51,433,566,211,772,416
  5. Step 5: Solve for x
    x = 51,433,566,211,772,416/103,318,688
  6. Step 6: Final answer
    x = 497,814,743.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.