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Finding the Third Proportional to 71,966,101 and 102,566,213

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Solution

The third proportional to 71,966,101 and 102,566,213 is: 146,177,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,966,101 : 102,566,213 = 102,566,213 : x
  2. Step 2: Convert to fraction form
    71,966,101/102,566,213 = 102,566,213/x
  3. Step 3: Cross multiply
    71,966,101x = 102,566,213 × 102,566,213
  4. Step 4: Simplify right side
    71,966,101x = 10,519,828,049,161,368
  5. Step 5: Solve for x
    x = 10,519,828,049,161,368/71,966,101
  6. Step 6: Final answer
    x = 146,177,546.14

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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.