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Finding the Third Proportional to 142,740,371 and 227,127,991

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Solution

The third proportional to 142,740,371 and 227,127,991 is: 361,405,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,740,371 : 227,127,991 = 227,127,991 : x
  2. Step 2: Convert to fraction form
    142,740,371/227,127,991 = 227,127,991/x
  3. Step 3: Cross multiply
    142,740,371x = 227,127,991 × 227,127,991
  4. Step 4: Simplify right side
    142,740,371x = 51,587,124,295,696,080
  5. Step 5: Solve for x
    x = 51,587,124,295,696,080/142,740,371
  6. Step 6: Final answer
    x = 361,405,283.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.