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Finding the Third Proportional to 157,102,781 and 339,197,213

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Solution

The third proportional to 157,102,781 and 339,197,213 is: 732,353,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,102,781 : 339,197,213 = 339,197,213 : x
  2. Step 2: Convert to fraction form
    157,102,781/339,197,213 = 339,197,213/x
  3. Step 3: Cross multiply
    157,102,781x = 339,197,213 × 339,197,213
  4. Step 4: Simplify right side
    157,102,781x = 115,054,749,306,967,376
  5. Step 5: Solve for x
    x = 115,054,749,306,967,376/157,102,781
  6. Step 6: Final answer
    x = 732,353,358.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.