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Finding the Third Proportional to 86,684,205.38 and 126,916,394.06

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Solution

The third proportional to 86,684,205.38 and 126,916,394.06 is: 185,821,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,684,205.38 : 126,916,394.06 = 126,916,394.06 : x
  2. Step 2: Convert to fraction form
    86,684,205.38/126,916,394.06 = 126,916,394.06/x
  3. Step 3: Cross multiply
    86,684,205.38x = 126,916,394.06 × 126,916,394.06
  4. Step 4: Simplify right side
    86,684,205.38x = 16,107,771,081,827,786
  5. Step 5: Solve for x
    x = 16,107,771,081,827,786/86,684,205.38
  6. Step 6: Final answer
    x = 185,821,292.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.