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Finding the Third Proportional to 71,811,002.25 and 113,728,430.25

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Solution

The third proportional to 71,811,002.25 and 113,728,430.25 is: 180,113,846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,811,002.25 : 113,728,430.25 = 113,728,430.25 : x
  2. Step 2: Convert to fraction form
    71,811,002.25/113,728,430.25 = 113,728,430.25/x
  3. Step 3: Cross multiply
    71,811,002.25x = 113,728,430.25 × 113,728,430.25
  4. Step 4: Simplify right side
    71,811,002.25x = 12,934,155,847,129,116
  5. Step 5: Solve for x
    x = 12,934,155,847,129,116/71,811,002.25
  6. Step 6: Final answer
    x = 180,113,846.65

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.