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Finding the Third Proportional to 136,061,706 and 209,418,108

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Solution

The third proportional to 136,061,706 and 209,418,108 is: 322,323,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,061,706 : 209,418,108 = 209,418,108 : x
  2. Step 2: Convert to fraction form
    136,061,706/209,418,108 = 209,418,108/x
  3. Step 3: Cross multiply
    136,061,706x = 209,418,108 × 209,418,108
  4. Step 4: Simplify right side
    136,061,706x = 43,855,943,958,299,664
  5. Step 5: Solve for x
    x = 43,855,943,958,299,664/136,061,706
  6. Step 6: Final answer
    x = 322,323,931.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.