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Finding the Third Proportional to 71,966,112 and 102,566,226

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Solution

The third proportional to 71,966,112 and 102,566,226 is: 146,177,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,966,112 : 102,566,226 = 102,566,226 : x
  2. Step 2: Convert to fraction form
    71,966,112/102,566,226 = 102,566,226/x
  3. Step 3: Cross multiply
    71,966,112x = 102,566,226 × 102,566,226
  4. Step 4: Simplify right side
    71,966,112x = 10,519,830,715,883,076
  5. Step 5: Solve for x
    x = 10,519,830,715,883,076/71,966,112
  6. Step 6: Final answer
    x = 146,177,560.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.