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Finding the Third Proportional to 89,847,025.03 and 138,016,072.13

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Solution

The third proportional to 89,847,025.03 and 138,016,072.13 is: 212,009,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,847,025.03 : 138,016,072.13 = 138,016,072.13 : x
  2. Step 2: Convert to fraction form
    89,847,025.03/138,016,072.13 = 138,016,072.13/x
  3. Step 3: Cross multiply
    89,847,025.03x = 138,016,072.13 × 138,016,072.13
  4. Step 4: Simplify right side
    89,847,025.03x = 19,048,436,164,813,204
  5. Step 5: Solve for x
    x = 19,048,436,164,813,204/89,847,025.03
  6. Step 6: Final answer
    x = 212,009,648.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.