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Finding the Third Proportional to 157,674,816 and 337,140,144

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Solution

The third proportional to 157,674,816 and 337,140,144 is: 720,872,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,674,816 : 337,140,144 = 337,140,144 : x
  2. Step 2: Convert to fraction form
    157,674,816/337,140,144 = 337,140,144/x
  3. Step 3: Cross multiply
    157,674,816x = 337,140,144 × 337,140,144
  4. Step 4: Simplify right side
    157,674,816x = 113,663,476,696,340,736
  5. Step 5: Solve for x
    x = 113,663,476,696,340,736/157,674,816
  6. Step 6: Final answer
    x = 720,872,740.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.