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Finding the Third Proportional to 107,458,845.75 and 230,242,812.75

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Solution

The third proportional to 107,458,845.75 and 230,242,812.75 is: 493,321,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,458,845.75 : 230,242,812.75 = 230,242,812.75 : x
  2. Step 2: Convert to fraction form
    107,458,845.75/230,242,812.75 = 230,242,812.75/x
  3. Step 3: Cross multiply
    107,458,845.75x = 230,242,812.75 × 230,242,812.75
  4. Step 4: Simplify right side
    107,458,845.75x = 53,011,752,823,031,560
  5. Step 5: Solve for x
    x = 53,011,752,823,031,560/107,458,845.75
  6. Step 6: Final answer
    x = 493,321,442.76

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