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Finding the Third Proportional to 47,997,428.34 and 103,656,191.06

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Solution

The third proportional to 47,997,428.34 and 103,656,191.06 is: 223,857,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997,428.34 : 103,656,191.06 = 103,656,191.06 : x
  2. Step 2: Convert to fraction form
    47,997,428.34/103,656,191.06 = 103,656,191.06/x
  3. Step 3: Cross multiply
    47,997,428.34x = 103,656,191.06 × 103,656,191.06
  4. Step 4: Simplify right side
    47,997,428.34x = 10,744,605,945,585,504
  5. Step 5: Solve for x
    x = 10,744,605,945,585,504/47,997,428.34
  6. Step 6: Final answer
    x = 223,857,950.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.