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Finding the Third Proportional to 81,481,434 and 176,852,506

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Solution

The third proportional to 81,481,434 and 176,852,506 is: 383,851,969.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,481,434 : 176,852,506 = 176,852,506 : x
  2. Step 2: Convert to fraction form
    81,481,434/176,852,506 = 176,852,506/x
  3. Step 3: Cross multiply
    81,481,434x = 176,852,506 × 176,852,506
  4. Step 4: Simplify right side
    81,481,434x = 31,276,808,878,480,036
  5. Step 5: Solve for x
    x = 31,276,808,878,480,036/81,481,434
  6. Step 6: Final answer
    x = 383,851,969.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.