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Finding the Third Proportional to 160,147,808 and 256,340,726

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Solution

The third proportional to 160,147,808 and 256,340,726 is: 410,312,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,147,808 : 256,340,726 = 256,340,726 : x
  2. Step 2: Convert to fraction form
    160,147,808/256,340,726 = 256,340,726/x
  3. Step 3: Cross multiply
    160,147,808x = 256,340,726 × 256,340,726
  4. Step 4: Simplify right side
    160,147,808x = 65,710,567,806,207,072
  5. Step 5: Solve for x
    x = 65,710,567,806,207,072/160,147,808
  6. Step 6: Final answer
    x = 410,312,002.56

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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.