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Finding the Third Proportional to 102,276,890 and 223,685,291

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Solution

The third proportional to 102,276,890 and 223,685,291 is: 489,212,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,276,890 : 223,685,291 = 223,685,291 : x
  2. Step 2: Convert to fraction form
    102,276,890/223,685,291 = 223,685,291/x
  3. Step 3: Cross multiply
    102,276,890x = 223,685,291 × 223,685,291
  4. Step 4: Simplify right side
    102,276,890x = 50,035,109,409,754,680
  5. Step 5: Solve for x
    x = 50,035,109,409,754,680/102,276,890
  6. Step 6: Final answer
    x = 489,212,268.87

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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.