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Finding the Third Proportional to 42,106,374 and 92,137,661

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Solution

The third proportional to 42,106,374 and 92,137,661 is: 201,616,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106,374 : 92,137,661 = 92,137,661 : x
  2. Step 2: Convert to fraction form
    42,106,374/92,137,661 = 92,137,661/x
  3. Step 3: Cross multiply
    42,106,374x = 92,137,661 × 92,137,661
  4. Step 4: Simplify right side
    42,106,374x = 8,489,348,574,550,921
  5. Step 5: Solve for x
    x = 8,489,348,574,550,921/42,106,374
  6. Step 6: Final answer
    x = 201,616,709.49

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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.