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Finding the Third Proportional to 230,526,686.25 and 354,117,187.69

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Solution

The third proportional to 230,526,686.25 and 354,117,187.69 is: 543,967,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,526,686.25 : 354,117,187.69 = 354,117,187.69 : x
  2. Step 2: Convert to fraction form
    230,526,686.25/354,117,187.69 = 354,117,187.69/x
  3. Step 3: Cross multiply
    230,526,686.25x = 354,117,187.69 × 354,117,187.69
  4. Step 4: Simplify right side
    230,526,686.25x = 125,398,982,615,704,096
  5. Step 5: Solve for x
    x = 125,398,982,615,704,096/230,526,686.25
  6. Step 6: Final answer
    x = 543,967,315.26

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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.