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Finding the Third Proportional to 134,114,872 and 205,021,644

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Solution

The third proportional to 134,114,872 and 205,021,644 is: 313,416,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,114,872 : 205,021,644 = 205,021,644 : x
  2. Step 2: Convert to fraction form
    134,114,872/205,021,644 = 205,021,644/x
  3. Step 3: Cross multiply
    134,114,872x = 205,021,644 × 205,021,644
  4. Step 4: Simplify right side
    134,114,872x = 42,033,874,508,462,736
  5. Step 5: Solve for x
    x = 42,033,874,508,462,736/134,114,872
  6. Step 6: Final answer
    x = 313,416,952.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.