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Finding the Third Proportional to 47,066,973.75 and 102,470,791.50

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Solution

The third proportional to 47,066,973.75 and 102,470,791.50 is: 223,091,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,066,973.75 : 102,470,791.50 = 102,470,791.50 : x
  2. Step 2: Convert to fraction form
    47,066,973.75/102,470,791.50 = 102,470,791.50/x
  3. Step 3: Cross multiply
    47,066,973.75x = 102,470,791.50 × 102,470,791.50
  4. Step 4: Simplify right side
    47,066,973.75x = 10,500,263,110,636,472
  5. Step 5: Solve for x
    x = 10,500,263,110,636,472/47,066,973.75
  6. Step 6: Final answer
    x = 223,091,953.32

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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.