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Finding the Third Proportional to 122,146,179.50 and 266,240,118.50

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Solution

The third proportional to 122,146,179.50 and 266,240,118.50 is: 580,319,425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,146,179.50 : 266,240,118.50 = 266,240,118.50 : x
  2. Step 2: Convert to fraction form
    122,146,179.50/266,240,118.50 = 266,240,118.50/x
  3. Step 3: Cross multiply
    122,146,179.50x = 266,240,118.50 × 266,240,118.50
  4. Step 4: Simplify right side
    122,146,179.50x = 70,883,800,698,894,040
  5. Step 5: Solve for x
    x = 70,883,800,698,894,040/122,146,179.50
  6. Step 6: Final answer
    x = 580,319,425.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.