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Finding the Third Proportional to 83,632,656.94 and 179,371,999.13

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Solution

The third proportional to 83,632,656.94 and 179,371,999.13 is: 384,709,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,632,656.94 : 179,371,999.13 = 179,371,999.13 : x
  2. Step 2: Convert to fraction form
    83,632,656.94/179,371,999.13 = 179,371,999.13/x
  3. Step 3: Cross multiply
    83,632,656.94x = 179,371,999.13 × 179,371,999.13
  4. Step 4: Simplify right side
    83,632,656.94x = 32,174,314,070,099,000
  5. Step 5: Solve for x
    x = 32,174,314,070,099,000/83,632,656.94
  6. Step 6: Final answer
    x = 384,709,935.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.