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Finding the Third Proportional to 154,569,838.31 and 333,352,770.75

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Solution

The third proportional to 154,569,838.31 and 333,352,770.75 is: 718,924,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,569,838.31 : 333,352,770.75 = 333,352,770.75 : x
  2. Step 2: Convert to fraction form
    154,569,838.31/333,352,770.75 = 333,352,770.75/x
  3. Step 3: Cross multiply
    154,569,838.31x = 333,352,770.75 × 333,352,770.75
  4. Step 4: Simplify right side
    154,569,838.31x = 111,124,069,766,702,048
  5. Step 5: Solve for x
    x = 111,124,069,766,702,048/154,569,838.31
  6. Step 6: Final answer
    x = 718,924,668.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.