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Finding the Third Proportional to 78,713,057 and 123,466,372.50

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Solution

The third proportional to 78,713,057 and 123,466,372.50 is: 193,664,758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,713,057 : 123,466,372.50 = 123,466,372.50 : x
  2. Step 2: Convert to fraction form
    78,713,057/123,466,372.50 = 123,466,372.50/x
  3. Step 3: Cross multiply
    78,713,057x = 123,466,372.50 × 123,466,372.50
  4. Step 4: Simplify right side
    78,713,057x = 15,243,945,138,308,756
  5. Step 5: Solve for x
    x = 15,243,945,138,308,756/78,713,057
  6. Step 6: Final answer
    x = 193,664,758.04

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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.