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Finding the Third Proportional to 72,224,705 and 156,229,726

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Solution

The third proportional to 72,224,705 and 156,229,726 is: 337,941,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,224,705 : 156,229,726 = 156,229,726 : x
  2. Step 2: Convert to fraction form
    72,224,705/156,229,726 = 156,229,726/x
  3. Step 3: Cross multiply
    72,224,705x = 156,229,726 × 156,229,726
  4. Step 4: Simplify right side
    72,224,705x = 24,407,727,286,035,076
  5. Step 5: Solve for x
    x = 24,407,727,286,035,076/72,224,705
  6. Step 6: Final answer
    x = 337,941,529.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.