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Finding the Third Proportional to 59,039,250 and 128,114,016

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Solution

The third proportional to 59,039,250 and 128,114,016 is: 278,004,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,039,250 : 128,114,016 = 128,114,016 : x
  2. Step 2: Convert to fraction form
    59,039,250/128,114,016 = 128,114,016/x
  3. Step 3: Cross multiply
    59,039,250x = 128,114,016 × 128,114,016
  4. Step 4: Simplify right side
    59,039,250x = 16,413,201,095,648,256
  5. Step 5: Solve for x
    x = 16,413,201,095,648,256/59,039,250
  6. Step 6: Final answer
    x = 278,004,905.14

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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.