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Finding the Third Proportional to 221,561,117 and 512,873,894

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Solution

The third proportional to 221,561,117 and 512,873,894 is: 1,187,210,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,561,117 : 512,873,894 = 512,873,894 : x
  2. Step 2: Convert to fraction form
    221,561,117/512,873,894 = 512,873,894/x
  3. Step 3: Cross multiply
    221,561,117x = 512,873,894 × 512,873,894
  4. Step 4: Simplify right side
    221,561,117x = 263,039,631,146,723,232
  5. Step 5: Solve for x
    x = 263,039,631,146,723,232/221,561,117
  6. Step 6: Final answer
    x = 1,187,210,259.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.