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Finding the Third Proportional to 109,072,458 and 233,261,457.75

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Solution

The third proportional to 109,072,458 and 233,261,457.75 is: 498,851,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,072,458 : 233,261,457.75 = 233,261,457.75 : x
  2. Step 2: Convert to fraction form
    109,072,458/233,261,457.75 = 233,261,457.75/x
  3. Step 3: Cross multiply
    109,072,458x = 233,261,457.75 × 233,261,457.75
  4. Step 4: Simplify right side
    109,072,458x = 54,410,907,671,655,032
  5. Step 5: Solve for x
    x = 54,410,907,671,655,032/109,072,458
  6. Step 6: Final answer
    x = 498,851,026.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.