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Finding the Third Proportional to 65,645,092 and 143,644,232

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Solution

The third proportional to 65,645,092 and 143,644,232 is: 314,321,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,645,092 : 143,644,232 = 143,644,232 : x
  2. Step 2: Convert to fraction form
    65,645,092/143,644,232 = 143,644,232/x
  3. Step 3: Cross multiply
    65,645,092x = 143,644,232 × 143,644,232
  4. Step 4: Simplify right side
    65,645,092x = 20,633,665,386,869,824
  5. Step 5: Solve for x
    x = 20,633,665,386,869,824/65,645,092
  6. Step 6: Final answer
    x = 314,321,524.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.