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Finding the Third Proportional to 194,063,809 and 420,871,111

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Solution

The third proportional to 194,063,809 and 420,871,111 is: 912,753,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,063,809 : 420,871,111 = 420,871,111 : x
  2. Step 2: Convert to fraction form
    194,063,809/420,871,111 = 420,871,111/x
  3. Step 3: Cross multiply
    194,063,809x = 420,871,111 × 420,871,111
  4. Step 4: Simplify right side
    194,063,809x = 177,132,492,074,374,336
  5. Step 5: Solve for x
    x = 177,132,492,074,374,336/194,063,809
  6. Step 6: Final answer
    x = 912,753,866.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.