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Finding the Third Proportional to 75,387,969.50 and 164,125,264.50

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Solution

The third proportional to 75,387,969.50 and 164,125,264.50 is: 357,313,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,387,969.50 : 164,125,264.50 = 164,125,264.50 : x
  2. Step 2: Convert to fraction form
    75,387,969.50/164,125,264.50 = 164,125,264.50/x
  3. Step 3: Cross multiply
    75,387,969.50x = 164,125,264.50 × 164,125,264.50
  4. Step 4: Simplify right side
    75,387,969.50x = 26,937,102,447,194,960
  5. Step 5: Solve for x
    x = 26,937,102,447,194,960/75,387,969.50
  6. Step 6: Final answer
    x = 357,313,011.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.