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Finding the Third Proportional to 70,313,876 and 154,242,364

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Solution

The third proportional to 70,313,876 and 154,242,364 is: 338,350,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,313,876 : 154,242,364 = 154,242,364 : x
  2. Step 2: Convert to fraction form
    70,313,876/154,242,364 = 154,242,364/x
  3. Step 3: Cross multiply
    70,313,876x = 154,242,364 × 154,242,364
  4. Step 4: Simplify right side
    70,313,876x = 23,790,706,852,308,496
  5. Step 5: Solve for x
    x = 23,790,706,852,308,496/70,313,876
  6. Step 6: Final answer
    x = 338,350,098.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.