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Finding the Third Proportional to 86,199,216 and 191,530,344

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Solution

The third proportional to 86,199,216 and 191,530,344 is: 425,570,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,199,216 : 191,530,344 = 191,530,344 : x
  2. Step 2: Convert to fraction form
    86,199,216/191,530,344 = 191,530,344/x
  3. Step 3: Cross multiply
    86,199,216x = 191,530,344 × 191,530,344
  4. Step 4: Simplify right side
    86,199,216x = 36,683,872,672,758,336
  5. Step 5: Solve for x
    x = 36,683,872,672,758,336/86,199,216
  6. Step 6: Final answer
    x = 425,570,838.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.