Home / 120,329,017.59-263,725,896.09

Finding the Third Proportional to 120,329,017.59 and 263,725,896.09

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Solution

The third proportional to 120,329,017.59 and 263,725,896.09 is: 578,009,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,329,017.59 : 263,725,896.09 = 263,725,896.09 : x
  2. Step 2: Convert to fraction form
    120,329,017.59/263,725,896.09 = 263,725,896.09/x
  3. Step 3: Cross multiply
    120,329,017.59x = 263,725,896.09 × 263,725,896.09
  4. Step 4: Simplify right side
    120,329,017.59x = 69,551,348,270,451,424
  5. Step 5: Solve for x
    x = 69,551,348,270,451,424/120,329,017.59
  6. Step 6: Final answer
    x = 578,009,774.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.