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Finding the Third Proportional to 71,672,014.69 and 110,676,552.19

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Solution

The third proportional to 71,672,014.69 and 110,676,552.19 is: 170,907,700.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,672,014.69 : 110,676,552.19 = 110,676,552.19 : x
  2. Step 2: Convert to fraction form
    71,672,014.69/110,676,552.19 = 110,676,552.19/x
  3. Step 3: Cross multiply
    71,672,014.69x = 110,676,552.19 × 110,676,552.19
  4. Step 4: Simplify right side
    71,672,014.69x = 12,249,299,204,112,412
  5. Step 5: Solve for x
    x = 12,249,299,204,112,412/71,672,014.69
  6. Step 6: Final answer
    x = 170,907,700.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.