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Finding the Third Proportional to 47,266,075.50 and 102,598,939.50

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Solution

The third proportional to 47,266,075.50 and 102,598,939.50 is: 222,708,195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,266,075.50 : 102,598,939.50 = 102,598,939.50 : x
  2. Step 2: Convert to fraction form
    47,266,075.50/102,598,939.50 = 102,598,939.50/x
  3. Step 3: Cross multiply
    47,266,075.50x = 102,598,939.50 × 102,598,939.50
  4. Step 4: Simplify right side
    47,266,075.50x = 10,526,542,386,524,660
  5. Step 5: Solve for x
    x = 10,526,542,386,524,660/47,266,075.50
  6. Step 6: Final answer
    x = 222,708,195.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.