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Finding the Third Proportional to 190,771,457.50 and 413,235,666

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Solution

The third proportional to 190,771,457.50 and 413,235,666 is: 895,121,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,771,457.50 : 413,235,666 = 413,235,666 : x
  2. Step 2: Convert to fraction form
    190,771,457.50/413,235,666 = 413,235,666/x
  3. Step 3: Cross multiply
    190,771,457.50x = 413,235,666 × 413,235,666
  4. Step 4: Simplify right side
    190,771,457.50x = 170,763,715,654,463,552
  5. Step 5: Solve for x
    x = 170,763,715,654,463,552/190,771,457.50
  6. Step 6: Final answer
    x = 895,121,932.24

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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.