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Finding the Third Proportional to 49,219,728.50 and 106,011,985

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Solution

The third proportional to 49,219,728.50 and 106,011,985 is: 228,334,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,219,728.50 : 106,011,985 = 106,011,985 : x
  2. Step 2: Convert to fraction form
    49,219,728.50/106,011,985 = 106,011,985/x
  3. Step 3: Cross multiply
    49,219,728.50x = 106,011,985 × 106,011,985
  4. Step 4: Simplify right side
    49,219,728.50x = 11,238,540,963,640,224
  5. Step 5: Solve for x
    x = 11,238,540,963,640,224/49,219,728.50
  6. Step 6: Final answer
    x = 228,334,070.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.