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Finding the Third Proportional to 86,455,188 and 133,722,707.63

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Solution

The third proportional to 86,455,188 and 133,722,707.63 is: 206,832,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,455,188 : 133,722,707.63 = 133,722,707.63 : x
  2. Step 2: Convert to fraction form
    86,455,188/133,722,707.63 = 133,722,707.63/x
  3. Step 3: Cross multiply
    86,455,188x = 133,722,707.63 × 133,722,707.63
  4. Step 4: Simplify right side
    86,455,188x = 17,881,762,534,561,234
  5. Step 5: Solve for x
    x = 17,881,762,534,561,234/86,455,188
  6. Step 6: Final answer
    x = 206,832,729.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.