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Finding the Third Proportional to 212,776,632 and 323,455,142

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Solution

The third proportional to 212,776,632 and 323,455,142 is: 491,704,506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,776,632 : 323,455,142 = 323,455,142 : x
  2. Step 2: Convert to fraction form
    212,776,632/323,455,142 = 323,455,142/x
  3. Step 3: Cross multiply
    212,776,632x = 323,455,142 × 323,455,142
  4. Step 4: Simplify right side
    212,776,632x = 104,623,228,886,240,160
  5. Step 5: Solve for x
    x = 104,623,228,886,240,160/212,776,632
  6. Step 6: Final answer
    x = 491,704,506.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.