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Finding the Third Proportional to 81,016,729 and 115,771,021

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Solution

The third proportional to 81,016,729 and 115,771,021 is: 165,434,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,016,729 : 115,771,021 = 115,771,021 : x
  2. Step 2: Convert to fraction form
    81,016,729/115,771,021 = 115,771,021/x
  3. Step 3: Cross multiply
    81,016,729x = 115,771,021 × 115,771,021
  4. Step 4: Simplify right side
    81,016,729x = 13,402,929,303,382,440
  5. Step 5: Solve for x
    x = 13,402,929,303,382,440/81,016,729
  6. Step 6: Final answer
    x = 165,434,095.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.