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Finding the Third Proportional to 76,420,252.50 and 161,466,105

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Solution

The third proportional to 76,420,252.50 and 161,466,105 is: 341,156,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,420,252.50 : 161,466,105 = 161,466,105 : x
  2. Step 2: Convert to fraction form
    76,420,252.50/161,466,105 = 161,466,105/x
  3. Step 3: Cross multiply
    76,420,252.50x = 161,466,105 × 161,466,105
  4. Step 4: Simplify right side
    76,420,252.50x = 26,071,303,063,871,024
  5. Step 5: Solve for x
    x = 26,071,303,063,871,024/76,420,252.50
  6. Step 6: Final answer
    x = 341,156,986.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.