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Finding the Third Proportional to 102,762,477 and 148,474,032

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Solution

The third proportional to 102,762,477 and 148,474,032 is: 214,519,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,762,477 : 148,474,032 = 148,474,032 : x
  2. Step 2: Convert to fraction form
    102,762,477/148,474,032 = 148,474,032/x
  3. Step 3: Cross multiply
    102,762,477x = 148,474,032 × 148,474,032
  4. Step 4: Simplify right side
    102,762,477x = 22,044,538,178,337,024
  5. Step 5: Solve for x
    x = 22,044,538,178,337,024/102,762,477
  6. Step 6: Final answer
    x = 214,519,334.51

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.