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Finding the Third Proportional to 75,664,148 and 162,932,848

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Solution

The third proportional to 75,664,148 and 162,932,848 is: 350,854,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,664,148 : 162,932,848 = 162,932,848 : x
  2. Step 2: Convert to fraction form
    75,664,148/162,932,848 = 162,932,848/x
  3. Step 3: Cross multiply
    75,664,148x = 162,932,848 × 162,932,848
  4. Step 4: Simplify right side
    75,664,148x = 26,547,112,957,391,104
  5. Step 5: Solve for x
    x = 26,547,112,957,391,104/75,664,148
  6. Step 6: Final answer
    x = 350,854,581.19

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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.