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Finding the Third Proportional to 49,065,090 and 107,042,200

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Solution

The third proportional to 49,065,090 and 107,042,200 is: 233,527,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,065,090 : 107,042,200 = 107,042,200 : x
  2. Step 2: Convert to fraction form
    49,065,090/107,042,200 = 107,042,200/x
  3. Step 3: Cross multiply
    49,065,090x = 107,042,200 × 107,042,200
  4. Step 4: Simplify right side
    49,065,090x = 11,458,032,580,840,000
  5. Step 5: Solve for x
    x = 11,458,032,580,840,000/49,065,090
  6. Step 6: Final answer
    x = 233,527,189.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.