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Finding the Third Proportional to 81,076,278 and 125,645,908.50

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Solution

The third proportional to 81,076,278 and 125,645,908.50 is: 194,716,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,076,278 : 125,645,908.50 = 125,645,908.50 : x
  2. Step 2: Convert to fraction form
    81,076,278/125,645,908.50 = 125,645,908.50/x
  3. Step 3: Cross multiply
    81,076,278x = 125,645,908.50 × 125,645,908.50
  4. Step 4: Simplify right side
    81,076,278x = 15,786,894,322,790,372
  5. Step 5: Solve for x
    x = 15,786,894,322,790,372/81,076,278
  6. Step 6: Final answer
    x = 194,716,564.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.