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Finding the Third Proportional to 105,699,076 and 161,707,780

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Solution

The third proportional to 105,699,076 and 161,707,780 is: 247,394,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,699,076 : 161,707,780 = 161,707,780 : x
  2. Step 2: Convert to fraction form
    105,699,076/161,707,780 = 161,707,780/x
  3. Step 3: Cross multiply
    105,699,076x = 161,707,780 × 161,707,780
  4. Step 4: Simplify right side
    105,699,076x = 26,149,406,112,528,400
  5. Step 5: Solve for x
    x = 26,149,406,112,528,400/105,699,076
  6. Step 6: Final answer
    x = 247,394,841.11

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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.