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Finding the Third Proportional to 52,838,869.50 and 107,163,447

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Solution

The third proportional to 52,838,869.50 and 107,163,447 is: 217,340,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,838,869.50 : 107,163,447 = 107,163,447 : x
  2. Step 2: Convert to fraction form
    52,838,869.50/107,163,447 = 107,163,447/x
  3. Step 3: Cross multiply
    52,838,869.50x = 107,163,447 × 107,163,447
  4. Step 4: Simplify right side
    52,838,869.50x = 11,484,004,372,921,808
  5. Step 5: Solve for x
    x = 11,484,004,372,921,808/52,838,869.50
  6. Step 6: Final answer
    x = 217,340,084.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.