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Finding the Third Proportional to 162,332,201 and 347,649,178

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Solution

The third proportional to 162,332,201 and 347,649,178 is: 744,522,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,332,201 : 347,649,178 = 347,649,178 : x
  2. Step 2: Convert to fraction form
    162,332,201/347,649,178 = 347,649,178/x
  3. Step 3: Cross multiply
    162,332,201x = 347,649,178 × 347,649,178
  4. Step 4: Simplify right side
    162,332,201x = 120,859,950,964,075,680
  5. Step 5: Solve for x
    x = 120,859,950,964,075,680/162,332,201
  6. Step 6: Final answer
    x = 744,522,345.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.