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Finding the Third Proportional to 105,699,053 and 161,707,746

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Solution

The third proportional to 105,699,053 and 161,707,746 is: 247,394,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,699,053 : 161,707,746 = 161,707,746 : x
  2. Step 2: Convert to fraction form
    105,699,053/161,707,746 = 161,707,746/x
  3. Step 3: Cross multiply
    105,699,053x = 161,707,746 × 161,707,746
  4. Step 4: Simplify right side
    105,699,053x = 26,149,395,116,400,516
  5. Step 5: Solve for x
    x = 26,149,395,116,400,516/105,699,053
  6. Step 6: Final answer
    x = 247,394,790.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.