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Finding the Third Proportional to 102,638,588 and 223,345,684

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Solution

The third proportional to 102,638,588 and 223,345,684 is: 486,009,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,638,588 : 223,345,684 = 223,345,684 : x
  2. Step 2: Convert to fraction form
    102,638,588/223,345,684 = 223,345,684/x
  3. Step 3: Cross multiply
    102,638,588x = 223,345,684 × 223,345,684
  4. Step 4: Simplify right side
    102,638,588x = 49,883,294,561,427,856
  5. Step 5: Solve for x
    x = 49,883,294,561,427,856/102,638,588
  6. Step 6: Final answer
    x = 486,009,166.08

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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.