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Finding the Third Proportional to 202,854,304.13 and 321,471,504

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Solution

The third proportional to 202,854,304.13 and 321,471,504 is: 509,449,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,854,304.13 : 321,471,504 = 321,471,504 : x
  2. Step 2: Convert to fraction form
    202,854,304.13/321,471,504 = 321,471,504/x
  3. Step 3: Cross multiply
    202,854,304.13x = 321,471,504 × 321,471,504
  4. Step 4: Simplify right side
    202,854,304.13x = 103,343,927,884,022,016
  5. Step 5: Solve for x
    x = 103,343,927,884,022,016/202,854,304.13
  6. Step 6: Final answer
    x = 509,449,027.12

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.