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Finding the Third Proportional to 39,477,541.50 and 88,032,021.75

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Solution

The third proportional to 39,477,541.50 and 88,032,021.75 is: 196,304,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,477,541.50 : 88,032,021.75 = 88,032,021.75 : x
  2. Step 2: Convert to fraction form
    39,477,541.50/88,032,021.75 = 88,032,021.75/x
  3. Step 3: Cross multiply
    39,477,541.50x = 88,032,021.75 × 88,032,021.75
  4. Step 4: Simplify right side
    39,477,541.50x = 7,749,636,853,392,473
  5. Step 5: Solve for x
    x = 7,749,636,853,392,473/39,477,541.50
  6. Step 6: Final answer
    x = 196,304,951.09

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.