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Finding the Third Proportional to 49,144,500 and 106,866,688.50

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Solution

The third proportional to 49,144,500 and 106,866,688.50 is: 232,385,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,144,500 : 106,866,688.50 = 106,866,688.50 : x
  2. Step 2: Convert to fraction form
    49,144,500/106,866,688.50 = 106,866,688.50/x
  3. Step 3: Cross multiply
    49,144,500x = 106,866,688.50 × 106,866,688.50
  4. Step 4: Simplify right side
    49,144,500x = 11,420,489,110,956,032
  5. Step 5: Solve for x
    x = 11,420,489,110,956,032/49,144,500
  6. Step 6: Final answer
    x = 232,385,905.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.