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Finding the Third Proportional to 269,548,460.44 and 402,837,062.06

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Solution

The third proportional to 269,548,460.44 and 402,837,062.06 is: 602,035,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,548,460.44 : 402,837,062.06 = 402,837,062.06 : x
  2. Step 2: Convert to fraction form
    269,548,460.44/402,837,062.06 = 402,837,062.06/x
  3. Step 3: Cross multiply
    269,548,460.44x = 402,837,062.06 × 402,837,062.06
  4. Step 4: Simplify right side
    269,548,460.44x = 162,277,698,571,146,464
  5. Step 5: Solve for x
    x = 162,277,698,571,146,464/269,548,460.44
  6. Step 6: Final answer
    x = 602,035,338.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.