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Finding the Third Proportional to 159,706,310,144 and 248,082,702,486

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Solution

The third proportional to 159,706,310,144 and 248,082,702,486 is: 385,363,779,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,706,310,144 : 248,082,702,486 = 248,082,702,486 : x
  2. Step 2: Convert to fraction form
    159,706,310,144/248,082,702,486 = 248,082,702,486/x
  3. Step 3: Cross multiply
    159,706,310,144x = 248,082,702,486 × 248,082,702,486
  4. Step 4: Simplify right side
    159,706,310,144x = 61,545,027,272,757,192,163,328
  5. Step 5: Solve for x
    x = 61,545,027,272,757,192,163,328/159,706,310,144
  6. Step 6: Final answer
    x = 385,363,779,410.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.