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Finding the Third Proportional to 190,771,463.25 and 413,235,675.63

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Solution

The third proportional to 190,771,463.25 and 413,235,675.63 is: 895,121,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,771,463.25 : 413,235,675.63 = 413,235,675.63 : x
  2. Step 2: Convert to fraction form
    190,771,463.25/413,235,675.63 = 413,235,675.63/x
  3. Step 3: Cross multiply
    190,771,463.25x = 413,235,675.63 × 413,235,675.63
  4. Step 4: Simplify right side
    190,771,463.25x = 170,763,723,615,704,960
  5. Step 5: Solve for x
    x = 170,763,723,615,704,960/190,771,463.25
  6. Step 6: Final answer
    x = 895,121,947.00

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