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Finding the Third Proportional to 156,648,160 and 220,205,648

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Solution

The third proportional to 156,648,160 and 220,205,648 is: 309,550,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,648,160 : 220,205,648 = 220,205,648 : x
  2. Step 2: Convert to fraction form
    156,648,160/220,205,648 = 220,205,648/x
  3. Step 3: Cross multiply
    156,648,160x = 220,205,648 × 220,205,648
  4. Step 4: Simplify right side
    156,648,160x = 48,490,527,411,099,904
  5. Step 5: Solve for x
    x = 48,490,527,411,099,904/156,648,160
  6. Step 6: Final answer
    x = 309,550,571.24

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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.