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Finding the Third Proportional to 71,654,970 and 108,076,230

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Solution

The third proportional to 71,654,970 and 108,076,230 is: 163,009,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,654,970 : 108,076,230 = 108,076,230 : x
  2. Step 2: Convert to fraction form
    71,654,970/108,076,230 = 108,076,230/x
  3. Step 3: Cross multiply
    71,654,970x = 108,076,230 × 108,076,230
  4. Step 4: Simplify right side
    71,654,970x = 11,680,471,491,012,900
  5. Step 5: Solve for x
    x = 11,680,471,491,012,900/71,654,970
  6. Step 6: Final answer
    x = 163,009,927.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.