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Finding the Third Proportional to 57,457,114.50 and 80,623,705.50

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Solution

The third proportional to 57,457,114.50 and 80,623,705.50 is: 113,131,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,457,114.50 : 80,623,705.50 = 80,623,705.50 : x
  2. Step 2: Convert to fraction form
    57,457,114.50/80,623,705.50 = 80,623,705.50/x
  3. Step 3: Cross multiply
    57,457,114.50x = 80,623,705.50 × 80,623,705.50
  4. Step 4: Simplify right side
    57,457,114.50x = 6,500,181,888,550,730
  5. Step 5: Solve for x
    x = 6,500,181,888,550,730/57,457,114.50
  6. Step 6: Final answer
    x = 113,131,018.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.