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Finding the Third Proportional to 102,638,580 and 223,345,668

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Solution

The third proportional to 102,638,580 and 223,345,668 is: 486,009,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,638,580 : 223,345,668 = 223,345,668 : x
  2. Step 2: Convert to fraction form
    102,638,580/223,345,668 = 223,345,668/x
  3. Step 3: Cross multiply
    102,638,580x = 223,345,668 × 223,345,668
  4. Step 4: Simplify right side
    102,638,580x = 49,883,287,414,366,224
  5. Step 5: Solve for x
    x = 49,883,287,414,366,224/102,638,580
  6. Step 6: Final answer
    x = 486,009,134.33

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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.