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Finding the Third Proportional to 114,907,164 and 245,739,576

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Solution

The third proportional to 114,907,164 and 245,739,576 is: 525,536,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,907,164 : 245,739,576 = 245,739,576 : x
  2. Step 2: Convert to fraction form
    114,907,164/245,739,576 = 245,739,576/x
  3. Step 3: Cross multiply
    114,907,164x = 245,739,576 × 245,739,576
  4. Step 4: Simplify right side
    114,907,164x = 60,387,939,212,659,776
  5. Step 5: Solve for x
    x = 60,387,939,212,659,776/114,907,164
  6. Step 6: Final answer
    x = 525,536,764.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.