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Finding the Third Proportional to 108,275,673 and 233,809,773

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Solution

The third proportional to 108,275,673 and 233,809,773 is: 504,887,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,275,673 : 233,809,773 = 233,809,773 : x
  2. Step 2: Convert to fraction form
    108,275,673/233,809,773 = 233,809,773/x
  3. Step 3: Cross multiply
    108,275,673x = 233,809,773 × 233,809,773
  4. Step 4: Simplify right side
    108,275,673x = 54,667,009,950,311,528
  5. Step 5: Solve for x
    x = 54,667,009,950,311,528/108,275,673
  6. Step 6: Final answer
    x = 504,887,279.25

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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.