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Finding the Third Proportional to 181,771,544.39 and 287,874,999.84

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Solution

The third proportional to 181,771,544.39 and 287,874,999.84 is: 455,913,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,771,544.39 : 287,874,999.84 = 287,874,999.84 : x
  2. Step 2: Convert to fraction form
    181,771,544.39/287,874,999.84 = 287,874,999.84/x
  3. Step 3: Cross multiply
    181,771,544.39x = 287,874,999.84 × 287,874,999.84
  4. Step 4: Simplify right side
    181,771,544.39x = 82,872,015,535,039,056
  5. Step 5: Solve for x
    x = 82,872,015,535,039,056/181,771,544.39
  6. Step 6: Final answer
    x = 455,913,029.80

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Why These Related Problems?

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