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Finding the Third Proportional to 53,137,687.50 and 86,769,049.50

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Solution

The third proportional to 53,137,687.50 and 86,769,049.50 is: 141,686,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,137,687.50 : 86,769,049.50 = 86,769,049.50 : x
  2. Step 2: Convert to fraction form
    53,137,687.50/86,769,049.50 = 86,769,049.50/x
  3. Step 3: Cross multiply
    53,137,687.50x = 86,769,049.50 × 86,769,049.50
  4. Step 4: Simplify right side
    53,137,687.50x = 7,528,867,951,133,450
  5. Step 5: Solve for x
    x = 7,528,867,951,133,450/53,137,687.50
  6. Step 6: Final answer
    x = 141,686,029.36

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.