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Finding the Third Proportional to 83,493,906 and 115,370,520

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Solution

The third proportional to 83,493,906 and 115,370,520 is: 159,417,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,493,906 : 115,370,520 = 115,370,520 : x
  2. Step 2: Convert to fraction form
    83,493,906/115,370,520 = 115,370,520/x
  3. Step 3: Cross multiply
    83,493,906x = 115,370,520 × 115,370,520
  4. Step 4: Simplify right side
    83,493,906x = 13,310,356,885,070,400
  5. Step 5: Solve for x
    x = 13,310,356,885,070,400/83,493,906
  6. Step 6: Final answer
    x = 159,417,106.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.