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Finding the Third Proportional to 38,964,142.13 and 84,710,198.25

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Solution

The third proportional to 38,964,142.13 and 84,710,198.25 is: 184,164,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,964,142.13 : 84,710,198.25 = 84,710,198.25 : x
  2. Step 2: Convert to fraction form
    38,964,142.13/84,710,198.25 = 84,710,198.25/x
  3. Step 3: Cross multiply
    38,964,142.13x = 84,710,198.25 × 84,710,198.25
  4. Step 4: Simplify right side
    38,964,142.13x = 7,175,817,687,554,303
  5. Step 5: Solve for x
    x = 7,175,817,687,554,303/38,964,142.13
  6. Step 6: Final answer
    x = 184,164,652.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.