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Finding the Third Proportional to 156,116,028,062 and 210,637,174,245

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Solution

The third proportional to 156,116,028,062 and 210,637,174,245 is: 284,199,000,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,116,028,062 : 210,637,174,245 = 210,637,174,245 : x
  2. Step 2: Convert to fraction form
    156,116,028,062/210,637,174,245 = 210,637,174,245/x
  3. Step 3: Cross multiply
    156,116,028,062x = 210,637,174,245 × 210,637,174,245
  4. Step 4: Simplify right side
    156,116,028,062x = 44,368,019,173,918,493,376,512
  5. Step 5: Solve for x
    x = 44,368,019,173,918,493,376,512/156,116,028,062
  6. Step 6: Final answer
    x = 284,199,000,734.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.