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Finding the Third Proportional to 71,739,019.50 and 114,205,988.25

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Solution

The third proportional to 71,739,019.50 and 114,205,988.25 is: 181,811,904.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,739,019.50 : 114,205,988.25 = 114,205,988.25 : x
  2. Step 2: Convert to fraction form
    71,739,019.50/114,205,988.25 = 114,205,988.25/x
  3. Step 3: Cross multiply
    71,739,019.50x = 114,205,988.25 × 114,205,988.25
  4. Step 4: Simplify right side
    71,739,019.50x = 13,043,007,752,159,138
  5. Step 5: Solve for x
    x = 13,043,007,752,159,138/71,739,019.50
  6. Step 6: Final answer
    x = 181,811,904.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.