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Finding the Third Proportional to 272,898,850.50 and 445,572,056.25

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Solution

The third proportional to 272,898,850.50 and 445,572,056.25 is: 727,501,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,898,850.50 : 445,572,056.25 = 445,572,056.25 : x
  2. Step 2: Convert to fraction form
    272,898,850.50/445,572,056.25 = 445,572,056.25/x
  3. Step 3: Cross multiply
    272,898,850.50x = 445,572,056.25 × 445,572,056.25
  4. Step 4: Simplify right side
    272,898,850.50x = 198,534,457,310,853,152
  5. Step 5: Solve for x
    x = 198,534,457,310,853,152/272,898,850.50
  6. Step 6: Final answer
    x = 727,501,991.84

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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.