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Finding the Third Proportional to 55,734,886.50 and 116,551,677.75

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Solution

The third proportional to 55,734,886.50 and 116,551,677.75 is: 243,730,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,734,886.50 : 116,551,677.75 = 116,551,677.75 : x
  2. Step 2: Convert to fraction form
    55,734,886.50/116,551,677.75 = 116,551,677.75/x
  3. Step 3: Cross multiply
    55,734,886.50x = 116,551,677.75 × 116,551,677.75
  4. Step 4: Simplify right side
    55,734,886.50x = 13,584,293,586,339,846
  5. Step 5: Solve for x
    x = 13,584,293,586,339,846/55,734,886.50
  6. Step 6: Final answer
    x = 243,730,532.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.