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Finding the Third Proportional to 49,730,042.50 and 104,613,436.50

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Solution

The third proportional to 49,730,042.50 and 104,613,436.50 is: 220,067,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,730,042.50 : 104,613,436.50 = 104,613,436.50 : x
  2. Step 2: Convert to fraction form
    49,730,042.50/104,613,436.50 = 104,613,436.50/x
  3. Step 3: Cross multiply
    49,730,042.50x = 104,613,436.50 × 104,613,436.50
  4. Step 4: Simplify right side
    49,730,042.50x = 10,943,971,096,339,532
  5. Step 5: Solve for x
    x = 10,943,971,096,339,532/49,730,042.50
  6. Step 6: Final answer
    x = 220,067,599.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.