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Finding the Third Proportional to 42,106,371 and 92,137,655

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Solution

The third proportional to 42,106,371 and 92,137,655 is: 201,616,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106,371 : 92,137,655 = 92,137,655 : x
  2. Step 2: Convert to fraction form
    42,106,371/92,137,655 = 92,137,655/x
  3. Step 3: Cross multiply
    42,106,371x = 92,137,655 × 92,137,655
  4. Step 4: Simplify right side
    42,106,371x = 8,489,347,468,899,025
  5. Step 5: Solve for x
    x = 8,489,347,468,899,025/42,106,371
  6. Step 6: Final answer
    x = 201,616,697.60

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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.