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Finding the Third Proportional to 232,931,467 and 365,369,113.50

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Solution

The third proportional to 232,931,467 and 365,369,113.50 is: 573,106,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,931,467 : 365,369,113.50 = 365,369,113.50 : x
  2. Step 2: Convert to fraction form
    232,931,467/365,369,113.50 = 365,369,113.50/x
  3. Step 3: Cross multiply
    232,931,467x = 365,369,113.50 × 365,369,113.50
  4. Step 4: Simplify right side
    232,931,467x = 133,494,589,099,775,888
  5. Step 5: Solve for x
    x = 133,494,589,099,775,888/232,931,467
  6. Step 6: Final answer
    x = 573,106,720.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.