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Finding the Third Proportional to 71,996,231 and 155,484,465

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Solution

The third proportional to 71,996,231 and 155,484,465 is: 335,787,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,996,231 : 155,484,465 = 155,484,465 : x
  2. Step 2: Convert to fraction form
    71,996,231/155,484,465 = 155,484,465/x
  3. Step 3: Cross multiply
    71,996,231x = 155,484,465 × 155,484,465
  4. Step 4: Simplify right side
    71,996,231x = 24,175,418,856,336,224
  5. Step 5: Solve for x
    x = 24,175,418,856,336,224/71,996,231
  6. Step 6: Final answer
    x = 335,787,283.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.