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Finding the Third Proportional to 71,515,025 and 154,360,896

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Solution

The third proportional to 71,515,025 and 154,360,896 is: 333,178,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,515,025 : 154,360,896 = 154,360,896 : x
  2. Step 2: Convert to fraction form
    71,515,025/154,360,896 = 154,360,896/x
  3. Step 3: Cross multiply
    71,515,025x = 154,360,896 × 154,360,896
  4. Step 4: Simplify right side
    71,515,025x = 23,827,286,213,922,816
  5. Step 5: Solve for x
    x = 23,827,286,213,922,816/71,515,025
  6. Step 6: Final answer
    x = 333,178,744.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.