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Finding the Third Proportional to 48,597,477 and 106,271,037

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Solution

The third proportional to 48,597,477 and 106,271,037 is: 232,389,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,597,477 : 106,271,037 = 106,271,037 : x
  2. Step 2: Convert to fraction form
    48,597,477/106,271,037 = 106,271,037/x
  3. Step 3: Cross multiply
    48,597,477x = 106,271,037 × 106,271,037
  4. Step 4: Simplify right side
    48,597,477x = 11,293,533,305,055,368
  5. Step 5: Solve for x
    x = 11,293,533,305,055,368/48,597,477
  6. Step 6: Final answer
    x = 232,389,292.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.