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Finding the Third Proportional to 73,952,638.50 and 114,965,764.50

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Solution

The third proportional to 73,952,638.50 and 114,965,764.50 is: 178,724,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,952,638.50 : 114,965,764.50 = 114,965,764.50 : x
  2. Step 2: Convert to fraction form
    73,952,638.50/114,965,764.50 = 114,965,764.50/x
  3. Step 3: Cross multiply
    73,952,638.50x = 114,965,764.50 × 114,965,764.50
  4. Step 4: Simplify right side
    73,952,638.50x = 13,217,127,007,069,460
  5. Step 5: Solve for x
    x = 13,217,127,007,069,460/73,952,638.50
  6. Step 6: Final answer
    x = 178,724,211.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.