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Finding the Third Proportional to 78,653,290.50 and 160,429,293

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Solution

The third proportional to 78,653,290.50 and 160,429,293 is: 327,227,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,653,290.50 : 160,429,293 = 160,429,293 : x
  2. Step 2: Convert to fraction form
    78,653,290.50/160,429,293 = 160,429,293/x
  3. Step 3: Cross multiply
    78,653,290.50x = 160,429,293 × 160,429,293
  4. Step 4: Simplify right side
    78,653,290.50x = 25,737,558,052,479,848
  5. Step 5: Solve for x
    x = 25,737,558,052,479,848/78,653,290.50
  6. Step 6: Final answer
    x = 327,227,988.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.