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Finding the Third Proportional to 56,457,961.50 and 86,309,653.50

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Solution

The third proportional to 56,457,961.50 and 86,309,653.50 is: 131,945,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,457,961.50 : 86,309,653.50 = 86,309,653.50 : x
  2. Step 2: Convert to fraction form
    56,457,961.50/86,309,653.50 = 86,309,653.50/x
  3. Step 3: Cross multiply
    56,457,961.50x = 86,309,653.50 × 86,309,653.50
  4. Step 4: Simplify right side
    56,457,961.50x = 7,449,356,287,290,062
  5. Step 5: Solve for x
    x = 7,449,356,287,290,062/56,457,961.50
  6. Step 6: Final answer
    x = 131,945,186.99

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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.