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Finding the Third Proportional to 156,115,988,877 and 210,637,125,108

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Solution

The third proportional to 156,115,988,877 and 210,637,125,108 is: 284,198,939,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,115,988,877 : 210,637,125,108 = 210,637,125,108 : x
  2. Step 2: Convert to fraction form
    156,115,988,877/210,637,125,108 = 210,637,125,108/x
  3. Step 3: Cross multiply
    156,115,988,877x = 210,637,125,108 × 210,637,125,108
  4. Step 4: Simplify right side
    156,115,988,877x = 44,367,998,473,763,242,901,504
  5. Step 5: Solve for x
    x = 44,367,998,473,763,242,901,504/156,115,988,877
  6. Step 6: Final answer
    x = 284,198,939,473.90

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