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Finding the Third Proportional to 262,121,773.50 and 406,994,022

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Solution

The third proportional to 262,121,773.50 and 406,994,022 is: 631,935,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,121,773.50 : 406,994,022 = 406,994,022 : x
  2. Step 2: Convert to fraction form
    262,121,773.50/406,994,022 = 406,994,022/x
  3. Step 3: Cross multiply
    262,121,773.50x = 406,994,022 × 406,994,022
  4. Step 4: Simplify right side
    262,121,773.50x = 165,644,133,943,736,480
  5. Step 5: Solve for x
    x = 165,644,133,943,736,480/262,121,773.50
  6. Step 6: Final answer
    x = 631,935,805.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.