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Finding the Third Proportional to 189,353,382.75 and 256,596,346.13

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Solution

The third proportional to 189,353,382.75 and 256,596,346.13 is: 347,718,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,353,382.75 : 256,596,346.13 = 256,596,346.13 : x
  2. Step 2: Convert to fraction form
    189,353,382.75/256,596,346.13 = 256,596,346.13/x
  3. Step 3: Cross multiply
    189,353,382.75x = 256,596,346.13 × 256,596,346.13
  4. Step 4: Simplify right side
    189,353,382.75x = 65,841,684,844,700,800
  5. Step 5: Solve for x
    x = 65,841,684,844,700,800/189,353,382.75
  6. Step 6: Final answer
    x = 347,718,556.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.