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Finding the Third Proportional to 57,809,266.50 and 83,092,207.50

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Solution

The third proportional to 57,809,266.50 and 83,092,207.50 is: 119,432,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,809,266.50 : 83,092,207.50 = 83,092,207.50 : x
  2. Step 2: Convert to fraction form
    57,809,266.50/83,092,207.50 = 83,092,207.50/x
  3. Step 3: Cross multiply
    57,809,266.50x = 83,092,207.50 × 83,092,207.50
  4. Step 4: Simplify right side
    57,809,266.50x = 6,904,314,947,223,056
  5. Step 5: Solve for x
    x = 6,904,314,947,223,056/57,809,266.50
  6. Step 6: Final answer
    x = 119,432,668.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.