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Finding the Third Proportional to 122,098,023 and 266,149,273.50

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Solution

The third proportional to 122,098,023 and 266,149,273.50 is: 580,152,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,098,023 : 266,149,273.50 = 266,149,273.50 : x
  2. Step 2: Convert to fraction form
    122,098,023/266,149,273.50 = 266,149,273.50/x
  3. Step 3: Cross multiply
    122,098,023x = 266,149,273.50 × 266,149,273.50
  4. Step 4: Simplify right side
    122,098,023x = 70,835,435,784,577,800
  5. Step 5: Solve for x
    x = 70,835,435,784,577,800/122,098,023
  6. Step 6: Final answer
    x = 580,152,192.84

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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.