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Finding the Third Proportional to 61,880,106 and 131,136,690

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Solution

The third proportional to 61,880,106 and 131,136,690 is: 277,905,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,880,106 : 131,136,690 = 131,136,690 : x
  2. Step 2: Convert to fraction form
    61,880,106/131,136,690 = 131,136,690/x
  3. Step 3: Cross multiply
    61,880,106x = 131,136,690 × 131,136,690
  4. Step 4: Simplify right side
    61,880,106x = 17,196,831,464,156,100
  5. Step 5: Solve for x
    x = 17,196,831,464,156,100/61,880,106
  6. Step 6: Final answer
    x = 277,905,656.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.