Home / 82,016,248.50-115,366,011.75

Finding the Third Proportional to 82,016,248.50 and 115,366,011.75

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Solution

The third proportional to 82,016,248.50 and 115,366,011.75 is: 162,276,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,016,248.50 : 115,366,011.75 = 115,366,011.75 : x
  2. Step 2: Convert to fraction form
    82,016,248.50/115,366,011.75 = 115,366,011.75/x
  3. Step 3: Cross multiply
    82,016,248.50x = 115,366,011.75 × 115,366,011.75
  4. Step 4: Simplify right side
    82,016,248.50x = 13,309,316,667,101,138
  5. Step 5: Solve for x
    x = 13,309,316,667,101,138/82,016,248.50
  6. Step 6: Final answer
    x = 162,276,584.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.