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Finding the Third Proportional to 115,429,838,217 and 248,231,470,161

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Solution

The third proportional to 115,429,838,217 and 248,231,470,161 is: 533,820,922,996.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,429,838,217 : 248,231,470,161 = 248,231,470,161 : x
  2. Step 2: Convert to fraction form
    115,429,838,217/248,231,470,161 = 248,231,470,161/x
  3. Step 3: Cross multiply
    115,429,838,217x = 248,231,470,161 × 248,231,470,161
  4. Step 4: Simplify right side
    115,429,838,217x = 61,618,862,778,291,436,126,208
  5. Step 5: Solve for x
    x = 61,618,862,778,291,436,126,208/115,429,838,217
  6. Step 6: Final answer
    x = 533,820,922,996.12

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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.