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Finding the Third Proportional to 104,028,290 and 153,025,971

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Solution

The third proportional to 104,028,290 and 153,025,971 is: 225,101,727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,028,290 : 153,025,971 = 153,025,971 : x
  2. Step 2: Convert to fraction form
    104,028,290/153,025,971 = 153,025,971/x
  3. Step 3: Cross multiply
    104,028,290x = 153,025,971 × 153,025,971
  4. Step 4: Simplify right side
    104,028,290x = 23,416,947,800,492,840
  5. Step 5: Solve for x
    x = 23,416,947,800,492,840/104,028,290
  6. Step 6: Final answer
    x = 225,101,727.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.