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Finding the Third Proportional to 116,226,576 and 255,125,140

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Solution

The third proportional to 116,226,576 and 255,125,140 is: 560,016,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,226,576 : 255,125,140 = 255,125,140 : x
  2. Step 2: Convert to fraction form
    116,226,576/255,125,140 = 255,125,140/x
  3. Step 3: Cross multiply
    116,226,576x = 255,125,140 × 255,125,140
  4. Step 4: Simplify right side
    116,226,576x = 65,088,837,060,019,600
  5. Step 5: Solve for x
    x = 65,088,837,060,019,600/116,226,576
  6. Step 6: Final answer
    x = 560,016,816.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.