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Finding the Third Proportional to 71,734,560 and 114,199,551

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Solution

The third proportional to 71,734,560 and 114,199,551 is: 181,802,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,734,560 : 114,199,551 = 114,199,551 : x
  2. Step 2: Convert to fraction form
    71,734,560/114,199,551 = 114,199,551/x
  3. Step 3: Cross multiply
    71,734,560x = 114,199,551 × 114,199,551
  4. Step 4: Simplify right side
    71,734,560x = 13,041,537,448,601,600
  5. Step 5: Solve for x
    x = 13,041,537,448,601,600/71,734,560
  6. Step 6: Final answer
    x = 181,802,710.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.