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Finding the Third Proportional to 179,286,624 and 263,803,128

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Solution

The third proportional to 179,286,624 and 263,803,128 is: 388,161,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,286,624 : 263,803,128 = 263,803,128 : x
  2. Step 2: Convert to fraction form
    179,286,624/263,803,128 = 263,803,128/x
  3. Step 3: Cross multiply
    179,286,624x = 263,803,128 × 263,803,128
  4. Step 4: Simplify right side
    179,286,624x = 69,592,090,342,584,384
  5. Step 5: Solve for x
    x = 69,592,090,342,584,384/179,286,624
  6. Step 6: Final answer
    x = 388,161,084.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.