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Finding the Third Proportional to 142,740,374 and 227,127,995.50

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Solution

The third proportional to 142,740,374 and 227,127,995.50 is: 361,405,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,740,374 : 227,127,995.50 = 227,127,995.50 : x
  2. Step 2: Convert to fraction form
    142,740,374/227,127,995.50 = 227,127,995.50/x
  3. Step 3: Cross multiply
    142,740,374x = 227,127,995.50 × 227,127,995.50
  4. Step 4: Simplify right side
    142,740,374x = 51,587,126,339,848,024
  5. Step 5: Solve for x
    x = 51,587,126,339,848,024/142,740,374
  6. Step 6: Final answer
    x = 361,405,290.56

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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.