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Finding the Third Proportional to 142,767,265.50 and 192,626,560.50

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Solution

The third proportional to 142,767,265.50 and 192,626,560.50 is: 259,898,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,767,265.50 : 192,626,560.50 = 192,626,560.50 : x
  2. Step 2: Convert to fraction form
    142,767,265.50/192,626,560.50 = 192,626,560.50/x
  3. Step 3: Cross multiply
    142,767,265.50x = 192,626,560.50 × 192,626,560.50
  4. Step 4: Simplify right side
    142,767,265.50x = 37,104,991,810,060,160
  5. Step 5: Solve for x
    x = 37,104,991,810,060,160/142,767,265.50
  6. Step 6: Final answer
    x = 259,898,455.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.