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Finding the Third Proportional to 47,063,460.38 and 102,460,919.63

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Solution

The third proportional to 47,063,460.38 and 102,460,919.63 is: 223,065,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,063,460.38 : 102,460,919.63 = 102,460,919.63 : x
  2. Step 2: Convert to fraction form
    47,063,460.38/102,460,919.63 = 102,460,919.63/x
  3. Step 3: Cross multiply
    47,063,460.38x = 102,460,919.63 × 102,460,919.63
  4. Step 4: Simplify right side
    47,063,460.38x = 10,498,240,050,400,710
  5. Step 5: Solve for x
    x = 10,498,240,050,400,710/47,063,460.38
  6. Step 6: Final answer
    x = 223,065,621.75

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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.