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Finding the Third Proportional to 82,156,930 and 127,946,432

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Solution

The third proportional to 82,156,930 and 127,946,432 is: 199,256,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,156,930 : 127,946,432 = 127,946,432 : x
  2. Step 2: Convert to fraction form
    82,156,930/127,946,432 = 127,946,432/x
  3. Step 3: Cross multiply
    82,156,930x = 127,946,432 × 127,946,432
  4. Step 4: Simplify right side
    82,156,930x = 16,370,289,461,530,624
  5. Step 5: Solve for x
    x = 16,370,289,461,530,624/82,156,930
  6. Step 6: Final answer
    x = 199,256,343.46

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.