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Finding the Third Proportional to 211,939,893.56 and 286,259,573.81

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Solution

The third proportional to 211,939,893.56 and 286,259,573.81 is: 386,640,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,939,893.56 : 286,259,573.81 = 286,259,573.81 : x
  2. Step 2: Convert to fraction form
    211,939,893.56/286,259,573.81 = 286,259,573.81/x
  3. Step 3: Cross multiply
    211,939,893.56x = 286,259,573.81 × 286,259,573.81
  4. Step 4: Simplify right side
    211,939,893.56x = 81,944,543,599,314,128
  5. Step 5: Solve for x
    x = 81,944,543,599,314,128/211,939,893.56
  6. Step 6: Final answer
    x = 386,640,486.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.