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Finding the Third Proportional to 52,641,776.25 and 106,877,884.50

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Solution

The third proportional to 52,641,776.25 and 106,877,884.50 is: 216,992,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,641,776.25 : 106,877,884.50 = 106,877,884.50 : x
  2. Step 2: Convert to fraction form
    52,641,776.25/106,877,884.50 = 106,877,884.50/x
  3. Step 3: Cross multiply
    52,641,776.25x = 106,877,884.50 × 106,877,884.50
  4. Step 4: Simplify right side
    52,641,776.25x = 11,422,882,195,195,340
  5. Step 5: Solve for x
    x = 11,422,882,195,195,340/52,641,776.25
  6. Step 6: Final answer
    x = 216,992,719.64

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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.