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Finding the Third Proportional to 43,090,101 and 92,152,170

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Solution

The third proportional to 43,090,101 and 92,152,170 is: 197,075,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,090,101 : 92,152,170 = 92,152,170 : x
  2. Step 2: Convert to fraction form
    43,090,101/92,152,170 = 92,152,170/x
  3. Step 3: Cross multiply
    43,090,101x = 92,152,170 × 92,152,170
  4. Step 4: Simplify right side
    43,090,101x = 8,492,022,435,708,900
  5. Step 5: Solve for x
    x = 8,492,022,435,708,900/43,090,101
  6. Step 6: Final answer
    x = 197,075,946.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.