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Finding the Third Proportional to 39,189,643.50 and 83,051,443.50

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Solution

The third proportional to 39,189,643.50 and 83,051,443.50 is: 176,004,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,189,643.50 : 83,051,443.50 = 83,051,443.50 : x
  2. Step 2: Convert to fraction form
    39,189,643.50/83,051,443.50 = 83,051,443.50/x
  3. Step 3: Cross multiply
    39,189,643.50x = 83,051,443.50 × 83,051,443.50
  4. Step 4: Simplify right side
    39,189,643.50x = 6,897,542,267,433,692
  5. Step 5: Solve for x
    x = 6,897,542,267,433,692/39,189,643.50
  6. Step 6: Final answer
    x = 176,004,210.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.