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Finding the Third Proportional to 103,672,841 and 223,948,909

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Solution

The third proportional to 103,672,841 and 223,948,909 is: 483,763,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,672,841 : 223,948,909 = 223,948,909 : x
  2. Step 2: Convert to fraction form
    103,672,841/223,948,909 = 223,948,909/x
  3. Step 3: Cross multiply
    103,672,841x = 223,948,909 × 223,948,909
  4. Step 4: Simplify right side
    103,672,841x = 50,153,113,842,290,280
  5. Step 5: Solve for x
    x = 50,153,113,842,290,280/103,672,841
  6. Step 6: Final answer
    x = 483,763,282.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.