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Finding the Third Proportional to 80,748,804 and 177,129,464

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Solution

The third proportional to 80,748,804 and 177,129,464 is: 388,548,751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,748,804 : 177,129,464 = 177,129,464 : x
  2. Step 2: Convert to fraction form
    80,748,804/177,129,464 = 177,129,464/x
  3. Step 3: Cross multiply
    80,748,804x = 177,129,464 × 177,129,464
  4. Step 4: Simplify right side
    80,748,804x = 31,374,847,016,927,296
  5. Step 5: Solve for x
    x = 31,374,847,016,927,296/80,748,804
  6. Step 6: Final answer
    x = 388,548,751.97

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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.