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Finding the Third Proportional to 48,217,206.50 and 72,774,212.50

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Solution

The third proportional to 48,217,206.50 and 72,774,212.50 is: 109,838,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,217,206.50 : 72,774,212.50 = 72,774,212.50 : x
  2. Step 2: Convert to fraction form
    48,217,206.50/72,774,212.50 = 72,774,212.50/x
  3. Step 3: Cross multiply
    48,217,206.50x = 72,774,212.50 × 72,774,212.50
  4. Step 4: Simplify right side
    48,217,206.50x = 5,296,086,004,995,156
  5. Step 5: Solve for x
    x = 5,296,086,004,995,156/48,217,206.50
  6. Step 6: Final answer
    x = 109,838,092.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.