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Finding the Third Proportional to 160,015,466.25 and 349,105,011.75

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Solution

The third proportional to 160,015,466.25 and 349,105,011.75 is: 761,640,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,015,466.25 : 349,105,011.75 = 349,105,011.75 : x
  2. Step 2: Convert to fraction form
    160,015,466.25/349,105,011.75 = 349,105,011.75/x
  3. Step 3: Cross multiply
    160,015,466.25x = 349,105,011.75 × 349,105,011.75
  4. Step 4: Simplify right side
    160,015,466.25x = 121,874,309,228,967,632
  5. Step 5: Solve for x
    x = 121,874,309,228,967,632/160,015,466.25
  6. Step 6: Final answer
    x = 761,640,809.39

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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.