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Finding the Third Proportional to 139,788,670.50 and 218,809,356.75

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Solution

The third proportional to 139,788,670.50 and 218,809,356.75 is: 342,499,391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,788,670.50 : 218,809,356.75 = 218,809,356.75 : x
  2. Step 2: Convert to fraction form
    139,788,670.50/218,809,356.75 = 218,809,356.75/x
  3. Step 3: Cross multiply
    139,788,670.50x = 218,809,356.75 × 218,809,356.75
  4. Step 4: Simplify right side
    139,788,670.50x = 47,877,534,601,348,768
  5. Step 5: Solve for x
    x = 47,877,534,601,348,768/139,788,670.50
  6. Step 6: Final answer
    x = 342,499,391.62

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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.