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Finding the Third Proportional to 233,214,368 and 510,361,406

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Solution

The third proportional to 233,214,368 and 510,361,406 is: 1,116,864,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214,368 : 510,361,406 = 510,361,406 : x
  2. Step 2: Convert to fraction form
    233,214,368/510,361,406 = 510,361,406/x
  3. Step 3: Cross multiply
    233,214,368x = 510,361,406 × 510,361,406
  4. Step 4: Simplify right side
    233,214,368x = 260,468,764,734,296,832
  5. Step 5: Solve for x
    x = 260,468,764,734,296,832/233,214,368
  6. Step 6: Final answer
    x = 1,116,864,140.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.