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Finding the Third Proportional to 229,863,510 and 510,745,356

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Solution

The third proportional to 229,863,510 and 510,745,356 is: 1,134,850,932.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,863,510 : 510,745,356 = 510,745,356 : x
  2. Step 2: Convert to fraction form
    229,863,510/510,745,356 = 510,745,356/x
  3. Step 3: Cross multiply
    229,863,510x = 510,745,356 × 510,745,356
  4. Step 4: Simplify right side
    229,863,510x = 260,860,818,675,566,720
  5. Step 5: Solve for x
    x = 260,860,818,675,566,720/229,863,510
  6. Step 6: Final answer
    x = 1,134,850,932.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.