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Finding the Third Proportional to 48,022,497 and 105,378,354

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Solution

The third proportional to 48,022,497 and 105,378,354 is: 231,237,403.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,022,497 : 105,378,354 = 105,378,354 : x
  2. Step 2: Convert to fraction form
    48,022,497/105,378,354 = 105,378,354/x
  3. Step 3: Cross multiply
    48,022,497x = 105,378,354 × 105,378,354
  4. Step 4: Simplify right side
    48,022,497x = 11,104,597,491,749,316
  5. Step 5: Solve for x
    x = 11,104,597,491,749,316/48,022,497
  6. Step 6: Final answer
    x = 231,237,403.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.