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Finding the Third Proportional to 104,628,861 and 172,282,362.75

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Solution

The third proportional to 104,628,861 and 172,282,362.75 is: 283,680,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,628,861 : 172,282,362.75 = 172,282,362.75 : x
  2. Step 2: Convert to fraction form
    104,628,861/172,282,362.75 = 172,282,362.75/x
  3. Step 3: Cross multiply
    104,628,861x = 172,282,362.75 × 172,282,362.75
  4. Step 4: Simplify right side
    104,628,861x = 29,681,212,514,722,588
  5. Step 5: Solve for x
    x = 29,681,212,514,722,588/104,628,861
  6. Step 6: Final answer
    x = 283,680,929.25

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.