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Finding the Third Proportional to 106,299,607.50 and 221,084,498.25

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Solution

The third proportional to 106,299,607.50 and 221,084,498.25 is: 459,816,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,299,607.50 : 221,084,498.25 = 221,084,498.25 : x
  2. Step 2: Convert to fraction form
    106,299,607.50/221,084,498.25 = 221,084,498.25/x
  3. Step 3: Cross multiply
    106,299,607.50x = 221,084,498.25 × 221,084,498.25
  4. Step 4: Simplify right side
    106,299,607.50x = 48,878,355,366,454,256
  5. Step 5: Solve for x
    x = 48,878,355,366,454,256/106,299,607.50
  6. Step 6: Final answer
    x = 459,816,894.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.