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Finding the Third Proportional to 232,816,552 and 506,967,399

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Solution

The third proportional to 232,816,552 and 506,967,399 is: 1,103,941,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,816,552 : 506,967,399 = 506,967,399 : x
  2. Step 2: Convert to fraction form
    232,816,552/506,967,399 = 506,967,399/x
  3. Step 3: Cross multiply
    232,816,552x = 506,967,399 × 506,967,399
  4. Step 4: Simplify right side
    232,816,552x = 257,015,943,648,825,216
  5. Step 5: Solve for x
    x = 257,015,943,648,825,216/232,816,552
  6. Step 6: Final answer
    x = 1,103,941,886.61

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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.