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Finding the Third Proportional to 157,102,773.75 and 339,197,199.75

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Solution

The third proportional to 157,102,773.75 and 339,197,199.75 is: 732,353,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,102,773.75 : 339,197,199.75 = 339,197,199.75 : x
  2. Step 2: Convert to fraction form
    157,102,773.75/339,197,199.75 = 339,197,199.75/x
  3. Step 3: Cross multiply
    157,102,773.75x = 339,197,199.75 × 339,197,199.75
  4. Step 4: Simplify right side
    157,102,773.75x = 115,054,740,318,241,408
  5. Step 5: Solve for x
    x = 115,054,740,318,241,408/157,102,773.75
  6. Step 6: Final answer
    x = 732,353,335.16

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Why These Related Problems?

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