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Finding the Third Proportional to 160,147,805.91 and 256,340,722.78

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Solution

The third proportional to 160,147,805.91 and 256,340,722.78 is: 410,311,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,147,805.91 : 256,340,722.78 = 256,340,722.78 : x
  2. Step 2: Convert to fraction form
    160,147,805.91/256,340,722.78 = 256,340,722.78/x
  3. Step 3: Cross multiply
    160,147,805.91x = 256,340,722.78 × 256,340,722.78
  4. Step 4: Simplify right side
    160,147,805.91x = 65,710,566,156,013,664
  5. Step 5: Solve for x
    x = 65,710,566,156,013,664/160,147,805.91
  6. Step 6: Final answer
    x = 410,311,997.62

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