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Finding the Third Proportional to 160,015,461.75 and 349,105,002.75

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Solution

The third proportional to 160,015,461.75 and 349,105,002.75 is: 761,640,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,015,461.75 : 349,105,002.75 = 349,105,002.75 : x
  2. Step 2: Convert to fraction form
    160,015,461.75/349,105,002.75 = 349,105,002.75/x
  3. Step 3: Cross multiply
    160,015,461.75x = 349,105,002.75 × 349,105,002.75
  4. Step 4: Simplify right side
    160,015,461.75x = 121,874,302,945,077,504
  5. Step 5: Solve for x
    x = 121,874,302,945,077,504/160,015,461.75
  6. Step 6: Final answer
    x = 761,640,791.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.