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Finding the Third Proportional to 119,652,415.31 and 260,269,169.63

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Solution

The third proportional to 119,652,415.31 and 260,269,169.63 is: 566,140,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,652,415.31 : 260,269,169.63 = 260,269,169.63 : x
  2. Step 2: Convert to fraction form
    119,652,415.31/260,269,169.63 = 260,269,169.63/x
  3. Step 3: Cross multiply
    119,652,415.31x = 260,269,169.63 × 260,269,169.63
  4. Step 4: Simplify right side
    119,652,415.31x = 67,740,040,657,287,024
  5. Step 5: Solve for x
    x = 67,740,040,657,287,024/119,652,415.31
  6. Step 6: Final answer
    x = 566,140,185.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.