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Finding the Third Proportional to 71,935,107.75 and 155,967,666.75

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Solution

The third proportional to 71,935,107.75 and 155,967,666.75 is: 338,164,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,935,107.75 : 155,967,666.75 = 155,967,666.75 : x
  2. Step 2: Convert to fraction form
    71,935,107.75/155,967,666.75 = 155,967,666.75/x
  3. Step 3: Cross multiply
    71,935,107.75x = 155,967,666.75 × 155,967,666.75
  4. Step 4: Simplify right side
    71,935,107.75x = 24,325,913,071,439,056
  5. Step 5: Solve for x
    x = 24,325,913,071,439,056/71,935,107.75
  6. Step 6: Final answer
    x = 338,164,685.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.