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Finding the Third Proportional to 159,706,310,146 and 248,082,702,489

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Solution

The third proportional to 159,706,310,146 and 248,082,702,489 is: 385,363,779,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,706,310,146 : 248,082,702,489 = 248,082,702,489 : x
  2. Step 2: Convert to fraction form
    159,706,310,146/248,082,702,489 = 248,082,702,489/x
  3. Step 3: Cross multiply
    159,706,310,146x = 248,082,702,489 × 248,082,702,489
  4. Step 4: Simplify right side
    159,706,310,146x = 61,545,027,274,245,683,544,064
  5. Step 5: Solve for x
    x = 61,545,027,274,245,683,544,064/159,706,310,146
  6. Step 6: Final answer
    x = 385,363,779,414.74

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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.