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Finding the Third Proportional to 156,180,852,970 and 219,937,056,902

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Solution

The third proportional to 156,180,852,970 and 219,937,056,902 is: 309,719,841,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,180,852,970 : 219,937,056,902 = 219,937,056,902 : x
  2. Step 2: Convert to fraction form
    156,180,852,970/219,937,056,902 = 219,937,056,902/x
  3. Step 3: Cross multiply
    156,180,852,970x = 219,937,056,902 × 219,937,056,902
  4. Step 4: Simplify right side
    156,180,852,970x = 48,372,308,998,713,583,337,472
  5. Step 5: Solve for x
    x = 48,372,308,998,713,583,337,472/156,180,852,970
  6. Step 6: Final answer
    x = 309,719,841,317.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.