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Finding the Third Proportional to 54,020,189 and 118,539,796

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Solution

The third proportional to 54,020,189 and 118,539,796 is: 260,119,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,020,189 : 118,539,796 = 118,539,796 : x
  2. Step 2: Convert to fraction form
    54,020,189/118,539,796 = 118,539,796/x
  3. Step 3: Cross multiply
    54,020,189x = 118,539,796 × 118,539,796
  4. Step 4: Simplify right side
    54,020,189x = 14,051,683,235,721,616
  5. Step 5: Solve for x
    x = 14,051,683,235,721,616/54,020,189
  6. Step 6: Final answer
    x = 260,119,105.39

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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.