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Finding the Third Proportional to 75,664,148.63 and 162,932,846.63

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Solution

The third proportional to 75,664,148.63 and 162,932,846.63 is: 350,854,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,664,148.63 : 162,932,846.63 = 162,932,846.63 : x
  2. Step 2: Convert to fraction form
    75,664,148.63/162,932,846.63 = 162,932,846.63/x
  3. Step 3: Cross multiply
    75,664,148.63x = 162,932,846.63 × 162,932,846.63
  4. Step 4: Simplify right side
    75,664,148.63x = 26,547,112,509,325,772
  5. Step 5: Solve for x
    x = 26,547,112,509,325,772/75,664,148.63
  6. Step 6: Final answer
    x = 350,854,572.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.