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Finding the Third Proportional to 174,626,783.72 and 268,413,879.09

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Solution

The third proportional to 174,626,783.72 and 268,413,879.09 is: 412,571,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,626,783.72 : 268,413,879.09 = 268,413,879.09 : x
  2. Step 2: Convert to fraction form
    174,626,783.72/268,413,879.09 = 268,413,879.09/x
  3. Step 3: Cross multiply
    174,626,783.72x = 268,413,879.09 × 268,413,879.09
  4. Step 4: Simplify right side
    174,626,783.72x = 72,046,010,490,154,240
  5. Step 5: Solve for x
    x = 72,046,010,490,154,240/174,626,783.72
  6. Step 6: Final answer
    x = 412,571,364.80

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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.