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Finding the Third Proportional to 51,146,670 and 109,548,348

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Solution

The third proportional to 51,146,670 and 109,548,348 is: 234,635,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,146,670 : 109,548,348 = 109,548,348 : x
  2. Step 2: Convert to fraction form
    51,146,670/109,548,348 = 109,548,348/x
  3. Step 3: Cross multiply
    51,146,670x = 109,548,348 × 109,548,348
  4. Step 4: Simplify right side
    51,146,670x = 12,000,840,549,529,104
  5. Step 5: Solve for x
    x = 12,000,840,549,529,104/51,146,670
  6. Step 6: Final answer
    x = 234,635,814.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.