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Finding the Third Proportional to 42,586,395.50 and 92,646,178

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Solution

The third proportional to 42,586,395.50 and 92,646,178 is: 201,550,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,586,395.50 : 92,646,178 = 92,646,178 : x
  2. Step 2: Convert to fraction form
    42,586,395.50/92,646,178 = 92,646,178/x
  3. Step 3: Cross multiply
    42,586,395.50x = 92,646,178 × 92,646,178
  4. Step 4: Simplify right side
    42,586,395.50x = 8,583,314,298,007,684
  5. Step 5: Solve for x
    x = 8,583,314,298,007,684/42,586,395.50
  6. Step 6: Final answer
    x = 201,550,617.22

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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.