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Finding the Third Proportional to 45,059,164.50 and 92,507,032.50

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Solution

The third proportional to 45,059,164.50 and 92,507,032.50 is: 189,918,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,059,164.50 : 92,507,032.50 = 92,507,032.50 : x
  2. Step 2: Convert to fraction form
    45,059,164.50/92,507,032.50 = 92,507,032.50/x
  3. Step 3: Cross multiply
    45,059,164.50x = 92,507,032.50 × 92,507,032.50
  4. Step 4: Simplify right side
    45,059,164.50x = 8,557,551,061,956,056
  5. Step 5: Solve for x
    x = 8,557,551,061,956,056/45,059,164.50
  6. Step 6: Final answer
    x = 189,918,103.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.