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Finding the Third Proportional to 109,776,357 and 146,348,592.75

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Solution

The third proportional to 109,776,357 and 146,348,592.75 is: 195,104,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,776,357 : 146,348,592.75 = 146,348,592.75 : x
  2. Step 2: Convert to fraction form
    109,776,357/146,348,592.75 = 146,348,592.75/x
  3. Step 3: Cross multiply
    109,776,357x = 146,348,592.75 × 146,348,592.75
  4. Step 4: Simplify right side
    109,776,357x = 21,417,910,599,905,352
  5. Step 5: Solve for x
    x = 21,417,910,599,905,352/109,776,357
  6. Step 6: Final answer
    x = 195,104,949.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.