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Finding the Third Proportional to 102,488,194 and 223,887,620

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Solution

The third proportional to 102,488,194 and 223,887,620 is: 489,087,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,488,194 : 223,887,620 = 223,887,620 : x
  2. Step 2: Convert to fraction form
    102,488,194/223,887,620 = 223,887,620/x
  3. Step 3: Cross multiply
    102,488,194x = 223,887,620 × 223,887,620
  4. Step 4: Simplify right side
    102,488,194x = 50,125,666,389,264,400
  5. Step 5: Solve for x
    x = 50,125,666,389,264,400/102,488,194
  6. Step 6: Final answer
    x = 489,087,224.91

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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.