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Finding the Third Proportional to 221,547,124 and 482,105,950

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Solution

The third proportional to 221,547,124 and 482,105,950 is: 1,049,104,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,547,124 : 482,105,950 = 482,105,950 : x
  2. Step 2: Convert to fraction form
    221,547,124/482,105,950 = 482,105,950/x
  3. Step 3: Cross multiply
    221,547,124x = 482,105,950 × 482,105,950
  4. Step 4: Simplify right side
    221,547,124x = 232,426,147,025,402,496
  5. Step 5: Solve for x
    x = 232,426,147,025,402,496/221,547,124
  6. Step 6: Final answer
    x = 1,049,104,781.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.