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Finding the Third Proportional to 42,591,303 and 92,645,046

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Solution

The third proportional to 42,591,303 and 92,645,046 is: 201,522,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,591,303 : 92,645,046 = 92,645,046 : x
  2. Step 2: Convert to fraction form
    42,591,303/92,645,046 = 92,645,046/x
  3. Step 3: Cross multiply
    42,591,303x = 92,645,046 × 92,645,046
  4. Step 4: Simplify right side
    42,591,303x = 8,583,104,548,342,116
  5. Step 5: Solve for x
    x = 8,583,104,548,342,116/42,591,303
  6. Step 6: Final answer
    x = 201,522,469.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.