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Finding the Third Proportional to 75,524,009.63 and 116,622,285.75

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Solution

The third proportional to 75,524,009.63 and 116,622,285.75 is: 180,085,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,524,009.63 : 116,622,285.75 = 116,622,285.75 : x
  2. Step 2: Convert to fraction form
    75,524,009.63/116,622,285.75 = 116,622,285.75/x
  3. Step 3: Cross multiply
    75,524,009.63x = 116,622,285.75 × 116,622,285.75
  4. Step 4: Simplify right side
    75,524,009.63x = 13,600,757,533,554,654
  5. Step 5: Solve for x
    x = 13,600,757,533,554,654/75,524,009.63
  6. Step 6: Final answer
    x = 180,085,215.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.