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Finding the Third Proportional to 48,597,476 and 106,271,035

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Solution

The third proportional to 48,597,476 and 106,271,035 is: 232,389,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,597,476 : 106,271,035 = 106,271,035 : x
  2. Step 2: Convert to fraction form
    48,597,476/106,271,035 = 106,271,035/x
  3. Step 3: Cross multiply
    48,597,476x = 106,271,035 × 106,271,035
  4. Step 4: Simplify right side
    48,597,476x = 11,293,532,879,971,224
  5. Step 5: Solve for x
    x = 11,293,532,879,971,224/48,597,476
  6. Step 6: Final answer
    x = 232,389,288.69

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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.