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Finding the Third Proportional to 56,594,318 and 121,257,196

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Solution

The third proportional to 56,594,318 and 121,257,196 is: 259,801,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,594,318 : 121,257,196 = 121,257,196 : x
  2. Step 2: Convert to fraction form
    56,594,318/121,257,196 = 121,257,196/x
  3. Step 3: Cross multiply
    56,594,318x = 121,257,196 × 121,257,196
  4. Step 4: Simplify right side
    56,594,318x = 14,703,307,581,782,416
  5. Step 5: Solve for x
    x = 14,703,307,581,782,416/56,594,318
  6. Step 6: Final answer
    x = 259,801,833.49

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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.