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Finding the Third Proportional to 103,434,915 and 154,255,540.50

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Solution

The third proportional to 103,434,915 and 154,255,540.50 is: 230,045,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,434,915 : 154,255,540.50 = 154,255,540.50 : x
  2. Step 2: Convert to fraction form
    103,434,915/154,255,540.50 = 154,255,540.50/x
  3. Step 3: Cross multiply
    103,434,915x = 154,255,540.50 × 154,255,540.50
  4. Step 4: Simplify right side
    103,434,915x = 23,794,771,774,947,140
  5. Step 5: Solve for x
    x = 23,794,771,774,947,140/103,434,915
  6. Step 6: Final answer
    x = 230,045,838.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.