Home / 160,147,813.50-256,340,733.75

Finding the Third Proportional to 160,147,813.50 and 256,340,733.75

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Solution

The third proportional to 160,147,813.50 and 256,340,733.75 is: 410,312,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,147,813.50 : 256,340,733.75 = 256,340,733.75 : x
  2. Step 2: Convert to fraction form
    160,147,813.50/256,340,733.75 = 256,340,733.75/x
  3. Step 3: Cross multiply
    160,147,813.50x = 256,340,733.75 × 256,340,733.75
  4. Step 4: Simplify right side
    160,147,813.50x = 65,710,571,779,488,392
  5. Step 5: Solve for x
    x = 65,710,571,779,488,392/160,147,813.50
  6. Step 6: Final answer
    x = 410,312,013.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.