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Finding the Third Proportional to 105,002,064 and 151,259,575

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Solution

The third proportional to 105,002,064 and 151,259,575 is: 217,895,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,002,064 : 151,259,575 = 151,259,575 : x
  2. Step 2: Convert to fraction form
    105,002,064/151,259,575 = 151,259,575/x
  3. Step 3: Cross multiply
    105,002,064x = 151,259,575 × 151,259,575
  4. Step 4: Simplify right side
    105,002,064x = 22,879,459,029,180,624
  5. Step 5: Solve for x
    x = 22,879,459,029,180,624/105,002,064
  6. Step 6: Final answer
    x = 217,895,326.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.