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Finding the Third Proportional to 104,212,266 and 153,287,217

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Solution

The third proportional to 104,212,266 and 153,287,217 is: 225,472,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,212,266 : 153,287,217 = 153,287,217 : x
  2. Step 2: Convert to fraction form
    104,212,266/153,287,217 = 153,287,217/x
  3. Step 3: Cross multiply
    104,212,266x = 153,287,217 × 153,287,217
  4. Step 4: Simplify right side
    104,212,266x = 23,496,970,895,605,088
  5. Step 5: Solve for x
    x = 23,496,970,895,605,088/104,212,266
  6. Step 6: Final answer
    x = 225,472,219.32

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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.