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Finding the Third Proportional to 113,390,869,204 and 242,955,396,672

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Solution

The third proportional to 113,390,869,204 and 242,955,396,672 is: 520,565,061,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,390,869,204 : 242,955,396,672 = 242,955,396,672 : x
  2. Step 2: Convert to fraction form
    113,390,869,204/242,955,396,672 = 242,955,396,672/x
  3. Step 3: Cross multiply
    113,390,869,204x = 242,955,396,672 × 242,955,396,672
  4. Step 4: Simplify right side
    113,390,869,204x = 59,027,324,772,048,865,067,008
  5. Step 5: Solve for x
    x = 59,027,324,772,048,865,067,008/113,390,869,204
  6. Step 6: Final answer
    x = 520,565,061,247.16

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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.