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Finding the Third Proportional to 75,664,164 and 162,932,886

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Solution

The third proportional to 75,664,164 and 162,932,886 is: 350,854,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,664,164 : 162,932,886 = 162,932,886 : x
  2. Step 2: Convert to fraction form
    75,664,164/162,932,886 = 162,932,886/x
  3. Step 3: Cross multiply
    75,664,164x = 162,932,886 × 162,932,886
  4. Step 4: Simplify right side
    75,664,164x = 26,547,125,340,288,996
  5. Step 5: Solve for x
    x = 26,547,125,340,288,996/75,664,164
  6. Step 6: Final answer
    x = 350,854,670.65

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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.