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Finding the Third Proportional to 59,193,326,358.78 and 121,524,663,388.78

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Solution

The third proportional to 59,193,326,358.78 and 121,524,663,388.78 is: 249,491,703,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,193,326,358.78 : 121,524,663,388.78 = 121,524,663,388.78 : x
  2. Step 2: Convert to fraction form
    59,193,326,358.78/121,524,663,388.78 = 121,524,663,388.78/x
  3. Step 3: Cross multiply
    59,193,326,358.78x = 121,524,663,388.78 × 121,524,663,388.78
  4. Step 4: Simplify right side
    59,193,326,358.78x = 14,768,243,811,756,286,148,608
  5. Step 5: Solve for x
    x = 14,768,243,811,756,286,148,608/59,193,326,358.78
  6. Step 6: Final answer
    x = 249,491,703,207.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.