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Finding the Third Proportional to 38,855,410.13 and 85,011,214.13

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Solution

The third proportional to 38,855,410.13 and 85,011,214.13 is: 185,994,858.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,855,410.13 : 85,011,214.13 = 85,011,214.13 : x
  2. Step 2: Convert to fraction form
    38,855,410.13/85,011,214.13 = 85,011,214.13/x
  3. Step 3: Cross multiply
    38,855,410.13x = 85,011,214.13 × 85,011,214.13
  4. Step 4: Simplify right side
    38,855,410.13x = 7,226,906,527,006,600
  5. Step 5: Solve for x
    x = 7,226,906,527,006,600/38,855,410.13
  6. Step 6: Final answer
    x = 185,994,858.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.