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Finding the Third Proportional to 100,541,857.50 and 216,955,320.75

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Solution

The third proportional to 100,541,857.50 and 216,955,320.75 is: 468,159,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,541,857.50 : 216,955,320.75 = 216,955,320.75 : x
  2. Step 2: Convert to fraction form
    100,541,857.50/216,955,320.75 = 216,955,320.75/x
  3. Step 3: Cross multiply
    100,541,857.50x = 216,955,320.75 × 216,955,320.75
  4. Step 4: Simplify right side
    100,541,857.50x = 47,069,611,201,735,384
  5. Step 5: Solve for x
    x = 47,069,611,201,735,384/100,541,857.50
  6. Step 6: Final answer
    x = 468,159,355.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.