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Finding the Third Proportional to 71,672,985 and 110,677,909.50

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Solution

The third proportional to 71,672,985 and 110,677,909.50 is: 170,909,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,672,985 : 110,677,909.50 = 110,677,909.50 : x
  2. Step 2: Convert to fraction form
    71,672,985/110,677,909.50 = 110,677,909.50/x
  3. Step 3: Cross multiply
    71,672,985x = 110,677,909.50 × 110,677,909.50
  4. Step 4: Simplify right side
    71,672,985x = 12,249,599,651,290,190
  5. Step 5: Solve for x
    x = 12,249,599,651,290,190/71,672,985
  6. Step 6: Final answer
    x = 170,909,578.43

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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.