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Finding the Third Proportional to 109,676,769 and 240,873,615

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Solution

The third proportional to 109,676,769 and 240,873,615 is: 529,009,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,676,769 : 240,873,615 = 240,873,615 : x
  2. Step 2: Convert to fraction form
    109,676,769/240,873,615 = 240,873,615/x
  3. Step 3: Cross multiply
    109,676,769x = 240,873,615 × 240,873,615
  4. Step 4: Simplify right side
    109,676,769x = 58,020,098,403,168,224
  5. Step 5: Solve for x
    x = 58,020,098,403,168,224/109,676,769
  6. Step 6: Final answer
    x = 529,009,916.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.