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Finding the Third Proportional to 195,139,215 and 285,367,063.50

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Solution

The third proportional to 195,139,215 and 285,367,063.50 is: 417,314,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,139,215 : 285,367,063.50 = 285,367,063.50 : x
  2. Step 2: Convert to fraction form
    195,139,215/285,367,063.50 = 285,367,063.50/x
  3. Step 3: Cross multiply
    195,139,215x = 285,367,063.50 × 285,367,063.50
  4. Step 4: Simplify right side
    195,139,215x = 81,434,360,930,613,040
  5. Step 5: Solve for x
    x = 81,434,360,930,613,040/195,139,215
  6. Step 6: Final answer
    x = 417,314,177.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.