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Finding the Third Proportional to 84,073,218 and 118,342,026

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Solution

The third proportional to 84,073,218 and 118,342,026 is: 166,579,030.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,073,218 : 118,342,026 = 118,342,026 : x
  2. Step 2: Convert to fraction form
    84,073,218/118,342,026 = 118,342,026/x
  3. Step 3: Cross multiply
    84,073,218x = 118,342,026 × 118,342,026
  4. Step 4: Simplify right side
    84,073,218x = 14,004,835,117,784,676
  5. Step 5: Solve for x
    x = 14,004,835,117,784,676/84,073,218
  6. Step 6: Final answer
    x = 166,579,030.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.