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Finding the Third Proportional to 48,360,056 and 102,178,432

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Solution

The third proportional to 48,360,056 and 102,178,432 is: 215,889,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,360,056 : 102,178,432 = 102,178,432 : x
  2. Step 2: Convert to fraction form
    48,360,056/102,178,432 = 102,178,432/x
  3. Step 3: Cross multiply
    48,360,056x = 102,178,432 × 102,178,432
  4. Step 4: Simplify right side
    48,360,056x = 10,440,431,965,978,624
  5. Step 5: Solve for x
    x = 10,440,431,965,978,624/48,360,056
  6. Step 6: Final answer
    x = 215,889,575.60

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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.