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Finding the Third Proportional to 43,460,865 and 92,103,279.50

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Solution

The third proportional to 43,460,865 and 92,103,279.50 is: 195,187,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,460,865 : 92,103,279.50 = 92,103,279.50 : x
  2. Step 2: Convert to fraction form
    43,460,865/92,103,279.50 = 92,103,279.50/x
  3. Step 3: Cross multiply
    43,460,865x = 92,103,279.50 × 92,103,279.50
  4. Step 4: Simplify right side
    43,460,865x = 8,483,014,094,655,120
  5. Step 5: Solve for x
    x = 8,483,014,094,655,120/43,460,865
  6. Step 6: Final answer
    x = 195,187,419.64

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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.