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Finding the Third Proportional to 52,114,179.75 and 112,806,727.50

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Solution

The third proportional to 52,114,179.75 and 112,806,727.50 is: 244,182,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,114,179.75 : 112,806,727.50 = 112,806,727.50 : x
  2. Step 2: Convert to fraction form
    52,114,179.75/112,806,727.50 = 112,806,727.50/x
  3. Step 3: Cross multiply
    52,114,179.75x = 112,806,727.50 × 112,806,727.50
  4. Step 4: Simplify right side
    52,114,179.75x = 12,725,357,769,259,256
  5. Step 5: Solve for x
    x = 12,725,357,769,259,256/52,114,179.75
  6. Step 6: Final answer
    x = 244,182,251.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.