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Finding the Third Proportional to 139,788,802.69 and 218,809,555.03

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Solution

The third proportional to 139,788,802.69 and 218,809,555.03 is: 342,499,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,788,802.69 : 218,809,555.03 = 218,809,555.03 : x
  2. Step 2: Convert to fraction form
    139,788,802.69/218,809,555.03 = 218,809,555.03/x
  3. Step 3: Cross multiply
    139,788,802.69x = 218,809,555.03 × 218,809,555.03
  4. Step 4: Simplify right side
    139,788,802.69x = 47,877,621,372,973,624
  5. Step 5: Solve for x
    x = 47,877,621,372,973,624/139,788,802.69
  6. Step 6: Final answer
    x = 342,499,688.48

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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.