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Finding the Third Proportional to 182,624,176 and 391,106,360

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Solution

The third proportional to 182,624,176 and 391,106,360 is: 837,590,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,624,176 : 391,106,360 = 391,106,360 : x
  2. Step 2: Convert to fraction form
    182,624,176/391,106,360 = 391,106,360/x
  3. Step 3: Cross multiply
    182,624,176x = 391,106,360 × 391,106,360
  4. Step 4: Simplify right side
    182,624,176x = 152,964,184,832,449,600
  5. Step 5: Solve for x
    x = 152,964,184,832,449,600/182,624,176
  6. Step 6: Final answer
    x = 837,590,006.88

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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.