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Finding the Third Proportional to 102,123,530,954 and 223,484,896,556

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Solution

The third proportional to 102,123,530,954 and 223,484,896,556 is: 489,069,448,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,123,530,954 : 223,484,896,556 = 223,484,896,556 : x
  2. Step 2: Convert to fraction form
    102,123,530,954/223,484,896,556 = 223,484,896,556/x
  3. Step 3: Cross multiply
    102,123,530,954x = 223,484,896,556 × 223,484,896,556
  4. Step 4: Simplify right side
    102,123,530,954x = 49,945,498,988,646,024,347,648
  5. Step 5: Solve for x
    x = 49,945,498,988,646,024,347,648/102,123,530,954
  6. Step 6: Final answer
    x = 489,069,448,755.58

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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.