Home / 164,147,133.38-256,158,428.06

Finding the Third Proportional to 164,147,133.38 and 256,158,428.06

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Solution

The third proportional to 164,147,133.38 and 256,158,428.06 is: 399,745,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,147,133.38 : 256,158,428.06 = 256,158,428.06 : x
  2. Step 2: Convert to fraction form
    164,147,133.38/256,158,428.06 = 256,158,428.06/x
  3. Step 3: Cross multiply
    164,147,133.38x = 256,158,428.06 × 256,158,428.06
  4. Step 4: Simplify right side
    164,147,133.38x = 65,617,140,267,450,984
  5. Step 5: Solve for x
    x = 65,617,140,267,450,984/164,147,133.38
  6. Step 6: Final answer
    x = 399,745,879.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.