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Finding the Third Proportional to 130,063,567.69 and 267,022,196.35

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Solution

The third proportional to 130,063,567.69 and 267,022,196.35 is: 548,200,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,063,567.69 : 267,022,196.35 = 267,022,196.35 : x
  2. Step 2: Convert to fraction form
    130,063,567.69/267,022,196.35 = 267,022,196.35/x
  3. Step 3: Cross multiply
    130,063,567.69x = 267,022,196.35 × 267,022,196.35
  4. Step 4: Simplify right side
    130,063,567.69x = 71,300,853,345,276,208
  5. Step 5: Solve for x
    x = 71,300,853,345,276,208/130,063,567.69
  6. Step 6: Final answer
    x = 548,200,042.59

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