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Finding the Third Proportional to 47,382,205.50 and 103,484,337.75

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Solution

The third proportional to 47,382,205.50 and 103,484,337.75 is: 226,013,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,382,205.50 : 103,484,337.75 = 103,484,337.75 : x
  2. Step 2: Convert to fraction form
    47,382,205.50/103,484,337.75 = 103,484,337.75/x
  3. Step 3: Cross multiply
    47,382,205.50x = 103,484,337.75 × 103,484,337.75
  4. Step 4: Simplify right side
    47,382,205.50x = 10,709,008,159,556,076
  5. Step 5: Solve for x
    x = 10,709,008,159,556,076/47,382,205.50
  6. Step 6: Final answer
    x = 226,013,290.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.