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Finding the Third Proportional to 114,583,797.28 and 181,737,015.61

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Solution

The third proportional to 114,583,797.28 and 181,737,015.61 is: 288,246,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,583,797.28 : 181,737,015.61 = 181,737,015.61 : x
  2. Step 2: Convert to fraction form
    114,583,797.28/181,737,015.61 = 181,737,015.61/x
  3. Step 3: Cross multiply
    114,583,797.28x = 181,737,015.61 × 181,737,015.61
  4. Step 4: Simplify right side
    114,583,797.28x = 33,028,342,842,604,032
  5. Step 5: Solve for x
    x = 33,028,342,842,604,032/114,583,797.28
  6. Step 6: Final answer
    x = 288,246,188.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.